The question of Naval Doctrine: How to deal with the Loss of all warships & supporting functions to ROTS.
The loss of the Warship fleet means the Cats lost almost all capital weapons, and the guarantee of honorable conduct they brought. This is FAR more profound than the raw firepower lost. Even though all the invading clans forswore the inclusion of warships into bidding since Turtle Bay, the warships did not cease to have an offensive military function. They were the ultimate guarantee of honorable conduct on the part of your enemies should they find victory more palatable than honor. Honor would go some distance to allow a paltry trinary of Nova Cats to raid Alshain and make off a prize, for example. However, should the Bears decide their greater honor of a clan demands the Cats NOT be successful in their endeavor, without capital weapons to guarantee classy behavior there's bugger-all the Cats could do if the entire Alshain garrison threw a Trial of Refusal, or even a new Trial of Possession before they ever even left the system.
Canon states that the Cats had 5 Nekohono'o's, and 10 Vanirs/Aesirs prior to the Jihad. Of these, an unknown number of the former and only 7 of the latter remain in Cat hands. And that's it for their pocket-warship fleet. Consider an additional impact of the loss of all those capital platforms- pilot training. I would consider that a significant portion of pilot instruction and virtually all flight training would have been done from the decks of these warships for the Clan's entire history, until after the Jihad of course. The impact is profound.. for the first time in the clan's history they're forced to come up with an answer for where else BUT from those massive, mobile platforms should pilot instruction, training, and annual Trials of Position be based? The clan now has only two options, and will probably be forced to incorporate both.
Planetary, ground based training: The existing training facilities of the ground arm of the Touman have vacancies and it seems natural to fill these with future pilots. The major drawback to planetary flight schools is twofold- atmospheric flight is fatally unforgiving and thus suboptimal for pilots still learning how to fly.. and the short fuel supplies of ASF means that all exo-atmospheric flying is limited to the immediate (and possibly traffic-clogged) space around the academy's host planet. This dovetails into..
Carrier-based training: A very, very, very poor substitute for Warship-based training, but it's what the Cats have available. Given the sheer space involved in classroom instruction, ASF cadets would probably reserve classroom instruction to schools on the ground. Flight training would be done on regular tours from dropship carriers, only to go back to the ground for more instruction, and over and over. Atmospheric flight training would only be done with advanced cadets who have already completed numerous training tours on dropships and could be trusted not to smear a nigh-irreplaceable ASF into the ground.
Once the Cats have these cycles worked out, there's the question of where these dropships would come from. After all, the navy has a more dire need for combat vessels than any time in its history and can ill spare a bunch of the few carriers available just to ferry around sibkin still earning their wings. Furthermore, those ASF pilots who've earned their warrior status require annual testing to maintain their ranks and postings. For the same reasons you don't want raw trainees flying irreplaceable ASFs in the one-mistake atmosphere, you DEFINITELY don't want pilots shooting each other down and impacting the planetary surface during routine re-qualifications. In every clan, annual trials of position must have been normally done deep in space simply to avoid insane losses in personnel and equipment. (a 'killed' fighter's hulk can be recovered & repaired at your leisure if it's not going to crash into any planetary bodies..) With the loss of Warships, dropship ASF carriers are the only platform left available to run these absolutely necessary Trials. Even in the post-Jihad era the Cats probably are not at the point of accepting sim battles or 'laser tag' dogfights as valid for Trials of Position. Even if other inner-sphere clans begin to make this compromise, I'd imagine the Cats would be among the last to do so because of the chip on their shoulder as being considered 'not clan' by clan law (as recognized by the Council of Six).
Using the limited dropships available for joint tours of Trials of Position and cadet training seem logical from a logistical standpoint, and there's light-years of wiggle-room canonically. For example, all clans require a Star Commander to defeat at least 2 opponents in his annual Trial of Position to maintain his rank. But from there, every other possible question is left purposely undefined to allow creative control for novel writers and game GMs. (need they be equal or higher rank opponents? Equal or higher mass vehicles? Same unit opponents? Is your opponent ALSO undergoing his Trial of Position? Etc etc) Answering all these questions is a quest beyond this thought experiment (and probably fundamentally doomed anyway, since it would box in future decisions!) but the basic Cat philosophy should be addressed. I haven't found anything specified for how the Nova Cats run Trials, but we do know that they're specified as the most lax with regards to maximum age for warriors, as well as having an early history of cross-caste tolerance. For my purposes, I imagine warriors are matched with opponents one tier 'down'. FL vs SL, SL vs Cadets (or Solhama, if no cadets are far enough in the training pipeline to provide worthy opposition..) Failure to maintain rank moves the warrior down into the lower tier, and triggers a new trial of position for posting in his new galaxy. Moving UP in tier would not be possible in this way.. special Trials of Position for vacancies in Front line galaxies would be a separate program from annual requalification. Again, YMMV here.. this is how I imagine it'd work, so as to allow cadets to train alongside active duty pilots AND provide opposition for each others' Trials.
The loss of the Warship fleet means the Cats lost almost all capital weapons, and more importantly their insurance against perfidy during hostile Trials. Even though all the invading clans forswore the inclusion of warships even for opening bids after the events on Turtle Bay, the warships did not cease to have an offensive military function. Clan honor only goes so far in guaranteeing honorable conduct during Trials of Possession. A Clan officer will justly fear the repercussions fighting dishonorably to secure victory. But, without the implied threat of capital weapons nearby there is nothing to actually STOP him if he's in the hardly unique position of valuing his clan's victory over his own (and his men's) honor. Even if you have no intention of USING orbital bombardment, the lack having the option to do so frees your opposition to do whatever they like.. be it stick to Zellbrigen or deceitfully ambush you with a massive force. Having a pitiful naval force in system also invites a Trial of Refusal or even a retaliatory Trial of Possession before you can jump out.