For the Crucis, did it really say all 4 battalions or could it have been a 2x2 sweep operation? *checks Sarna* Huh, all 4 . . . Elite/Fanatical with med/heavy mechs and 8 lances of Omnis. I may stretch it and say mechs & BA since it would be easier to take both for the sweeps- leaving the armor and infantry regiments behind to hold the garrison makes sense. They had to have taken some air assets, wonder how many assault droppers escorted the transports? So . . . 3 Overlords (Upg), 4 Unions (Upg), 2 Mule or Jumbo for support, Avenger/Achilles/Claymore- a single wing could be loaded on the DS.
Sure, I remembered that it was a lower quality Raven cluster and they are not a top tier so Omnis are rather rare- set down with the MUL last night and came up with a Supernova Binary, mech binary, two Proto trinaries, armored supernova trinary, VTOL binary and a ASF trinary . . . without the OA, it makes it 5-1 odds in mechs with the Crucis probably having near parity in quality. Which matches up with their listing of 5 trinaries of force, though as Reg/Rel the Lancers are going to have a advantage in skill too. Huh, 'wiped' out in '72 and then again by the Dracs in '83 . . . but in '86 field tested the Omen. Might have a Arcadia as the only DS assigned since they are garrison.
The OA brings maybe a battalion of med vehicles and wing of med ASF.
Heck, if the Lancers were on the DC-FS border they might have bought some Clan mechs like Thresher, Warhammer IIC 4s, Rifleman IIC #s, Ha Otokos, and Mad Cat Mk IIs from the Sharks so it might even be superior. The Lancers would have latest mechs while the Ravens would be using a mix up of Omnis, standard Clan mechs, old Star League designs, post Exodus mechs (Pulverizer!), and anything they had salvaged from wiping out pirates around the OA. So yeah, the Lancers are probably better equipped, better skilled, and parity in combat power though the Lancers have superior numbers of mechs.
Heck, adding up the numbers . . . the Lancers might have needed both wings (40) to get through the OA/Raven defense of 20/30 fighters. Reunification battlefield might be a fun place to start duking it out.