Not so focused combat leaves a hole for any real conflict to occur in the RP's story. Yes, you can have other types of conflicts in an RP, but given this is a KH fansite forum, wouldn't it be more appropriate to settle things by bashing enemies to death with giant keys?
And characters are people. Not all have to be a weapon, use a weapon, or etc; you make a shaky argument - given that in general once our ancestors learned how to make stone tools to kill our other ancestors still using just rocks for whatever they had, more or less . . .
The general buzz of "stats" came about because of whatever general purpose (I honestly don't remember off the top of my head why), so as to cause people to perhaps really sit down and think "What/Who is the character I want to portray? How can I best portray them?". Basically make them more human, in a sense - as some people are good at something, others at another, and so on.
A general stats system would at least curb attempts at overpowered characters and in doing so make them more or less human; because if I wanted to keep fight-minded players on their leash in the most "me way possible," I'd honestly just sit and put together a character designed only to kill whatever character(s) that would be their avatar(s) in that RP's realm.
A stats system is nicer, simpler, and there's no bullshit. Not trying to sound mean or condescending in any way, but one's creativity shouldn't be stunted just because of the possible addition of a stats system - it might actually help some people in limiting them in some ways.