Will the overall critical hit chance be increased in competitive battling? If you wonder why I ask this, read ahead.
A while ago I finished maximizing the "Poke-Amie" stats of an Eevee in order to evolve it into a Sylveon. I notice that with maximized PokeAmie stats, you not only get boosted exp, but your own critical hit chance seems to increase. Now when I land a crit the in-game text says something like "Sylveon is so in sync with you that it landed a critical hit!" This leads me to beleive the critical hit chance is increased when you have maxed PokeAmi stats.
Because everything in competitive battling is idealized (Ideal IV:s and EV:s are assumed, ideal happiness is assumed, there is some mechanic with Chatot and chatter and some other things), it seems reasonable to assume that every pokemon used in competitive battles will have maxed PokeAmie stats.
Now, I haven't tried battling against another player, so I don't know if this applies to wifi-battles. If you know anything about this, please enlighten me.