Yes, it might work, but it's not as nice as with the dedicated carriers we have now. I think the problem is more of a balance problem anyway, which is why I suggested to at least make it difficult to obtain.
Generally I think just a larger variety with maybe some Carriers with more Combat power would be nicer anyway. At the moment the only Ship with flight decks that is also decent in Combat is Odyssey. The Astral is still pretty good, because it has so many flight decks it is just insane and also the thing is generally hard enough to destroy. But all the other carriers are pretty much just civillian ships, and having your carrier parked far from the combat generally gets your fighters killed on the way to rearm/repair.
Oh, and there is the venture. That is quite ok I guess although it doesn't fit my playstyle.
