Since we are only looking at base performance the 6 strikecraft plus the carrier capitals own dps makes this an even wash.
A good point, though we'd have to account for the fact that battleships also get strike craft at higher levels on the other end of the calculation. Furthermore this isn't much use to a kiting carrier that doesn't get to use its weapons, though it's still a plus that shouldn't be ignored.
Additionally in battles that 6 strikecraft is worth more than 7 carrier cruiser strikecraft due to AM requirements.
While this is completely true, it's also very difficult to model. In a quick battle involving swarms of strike craft strafing a target, the difference is meaningless. In a long battle involving several minutes of vicious fighting, this is a game-changer. In other words, some situations will favour the larger number of less reliable strike craft fielded by cruisers, while other situations will favour the smaller number of more reliable strike craft from capital ships.
This gives strong distinction between the carrier cruisers and the carrier caps. I'd like to see the solutoin approached in a similar manner to the battleship capital ships; in terms of raw damage output they shouldn't (at least until higher levels) pass over the heavies, but there should be some very notable aspects in which they do perform better.
In other words a Capital Carrier doubles it's squadrons from Level 1 to Level 5 while only experiencing a 50% increase from level 5 to level 10.
All capital ships have linear progression. This is true of all their attributes, including damage, hull, and shields. The biggest plateau isn't actually their sheer power, but rather that their abilities cap out at level 5.
As far as bombard damage goes, right now siege frigates are kinda gimped so I'm hesitant to start tweaking capital ships roles in this fashion. Battleships, unlike carriers, are also pretty much taken out of the fight when they bombard, so I don't think it's justifiable to give them the same level of bombard power as carriers.