Ok, first of all, thank you for the explanation of your design goals and design process. Now I will reiterate the issues...
For consumer awareness and consumer protection:
The back of the book says, "...and compatible with Total Warfare and Alpha Strike". It doesn't say the book is more for compatible with one game than it is with the other.
The back of the book also doesn't explain what your design goals were, or that Alpha Strike was a secondary consideration, and there's enough AS content to make it seem 100% compatible when you flip through it at the FLGS. However, there is no way for me to know that for sure until after I've paid for the book and read a sufficient amount of it. So, if you what mean is, "Designed for Total Warfare, but can work with Alpha Strike with some effort on your part", then put that on the book so consumers can make informed purchases.
For game play:
As for the actual content and specifically Combined Arms Battlefield Support: Those rules would absolutely be useful in Alpha Strike games, not just Total Warfare games. It's only your opinion that they would not be, not mine. Having played Alpha Strike since its first release, my experience is that having to track more than 20 units makes the game too slow to be enjoyable, and games in my group are already 10 to 20 Mechs per side (typically 10-12 vs 16-20 because certain combat commands favour heavier or lighter units).
But for the sake of argument, let's say game speed and complexity aren't a concern. The Tukayyid campaign rules say ComStar should get a certain amount of BSPs as a bonus vs their Clan opposition who get no bonus BSPs. Ok, so how many PV worth of infantry and vehicles is equal to 12, 24, or 36 BSPs of Tukayyid's simplified combined arms? Do I guess? Or, do I buy the combined arms units with BSPs first, then take full Alpha Strike units instead? And if the latter, which unit profiles? LRM jump platoons can do 1 damage at medium range but MG or Rifle jump platoons cannot -- which should I use? And exactly what kind of mechanization is to be used? The PV values for hover vs tracked vs wheeled are not equivalent because they have different capabilities, restrictions, and MV modes/values.
So while I understand your assertion that one could use actual Alpha Strike units, the book still doesn't provide enough information to make accurate choices, and as I can assure you, some game groups do not want to a lot of excess units and would very much like to use the simplified combined arms rules in Alpha Strike. Furthermore, you imply that Alpha Strike is already easy and fast so you don't need simplified infantry and vehicles, but why then are there any Battlefield Support rules in Alpha Strike at all? Obviously, it's because Alpha Strike is only fast and easy up to a certain point -- eventually the number of units and optional rules becomes a problem, so there are Battlefield Support rules to simulate some aspects of the game. That is in fact what the Battlefield Support rules themselves claim. So, again, I strongly believe you should have included complete Alpha Strike rules for both playability and for consumer protection (assuming no disclaimer or statement of the level of compatibility on the back cover).