Pretty sure Infernape gets hard walled by stall nowadays (its possible I'm out of touch but last I checked the current "version" of stall had it checked) so I'm not really sure if its the greatest example you could come up with. Infernape and Victini don't use CH moves on their movesets anymore (that I know of) so I'm not really sure what your point is. Everyone knows high BP moves + STAB + a boosting item = damage so ok?
The concept locks you into one of two abilities, possibly an item, and sorts out half your moveset for you. Plus, at the end of the day there isn't actually any reason for anyone to actually go a critical route, you would need to remove temptation moves such as SD from the movelist (otherwise it ignores CH fishing and goes standard sweeper), and you need to micromanage its STAB options so its inclined to use a critical move over another one. Of course, if at the end of the day you don't make its CH set good enough, then the entire CAP falls flat on its ass because anything else we could do was stripped away but I digress.
I'll be honest here, I hate concepts like this, which pigeonhole a CAP into a specific set. Its not because its impossible, its because you have to bend over backwards to make it "The Best Set", and if the set isn't even good enough to begin with, you have a trash mon, because it cannot do anything else. Compare that with like, a typing concept CAP, which might suck at sweeping (like me might have wanted it to), but might have an ok scarf set or something. I think this concept just wants to CH its way past walls, and if it can CH its way past walls, then it can CH its way past everything else. If it doesn't CH its way past walls, then well, it doesn't really do much else. I'm pretty sure that moves such as Psyshock (against some targets), or like, Stored Power trump some unaware/enemy boosters, and there isn't really anything to learn from the concept, the questions being asked are all design specific eg "What typing will we give it".
I don't like it.