-example- Model A uses A-trans to go to model H , and at the same time X merges, Hence making Hx.
Is this possible? 
Model A copies the body, not the Biometal. In other words, when you copy Model H, you are copying
MegaMan Model H, not
Biometal Model H. Model A, without a host, can't copy anything. Model X taps into the secondary Biometal before merging, and has never been seen to add its power to a pre-existing transformation, so unless it has abilities yet unseen, no that cannot be done. Even if for the sake of argument it could, the HX produced would still be the Model H host's body.
Consider the fact that Model A, after copying Model ZX, cannot produce Model X or Model Z. This means that Model A is unable to modify the data it copies.
Power:
Model X > Model AX > Model A > Trans Model X

You're using gameplay mechanics over story mechanics, in which a Double Rock On is stronger than EITHER of the two Biometals alone.
And even if we were to use the gameplay logic, you're still wrong. Model X is not actually more powerful than Model ZX, it's just easier to use. Model X can break a boss's damage barrier for 11 damage, ZX can do the same for 12. The difference is ZX requires two attack buttons and being at close range for the second attack, whereas Model X can double-charge a single ranged weapon.
Double Rock Ons in gameplay typically follow the same attack scheme as the singular Biometal with more charge attacks (hence AX should have MORE variety than A, not less), shorter charge times, and besides ZX, an OIS. I'd expect AX to feature a ZX-level buster shot and an enhanced Homing Shot, perhaps with the ability to lock the same target multiple times (an ability which Model A has in cutscene but not in gameplay). Perhaps also a Giga Crush that doesn't punish you for collecting BME upgrades.