I get your point in stats being used for everything everywhere, but I'm not suggesting that at all. I had that feeling at first, but just because something has always been done a certain way does not mean it is right. I don't mind it happening here and there if there is a logic to it.
The thing is, why should a wizard be considered slow for having a low dexterity, when everything he does has absolutely nothing to do with being physically fast. You could sit him in a deck chair and it wouldn't slow him down because he is using his mind and intelligence, not prancing about like a rogue. My logic for using intelligence makes sense, I'm not just trying to get special benefits by cheating.
Besides, Intelligence has lost more than it's gained. If you are worried that dexterity is being given a rough rap in all this then I partly agree. I can't understand why dexterity doesn't adjust a character's movement - it would make more sense for the dexterity based strikers like the rogue and ranger for nipping about, but I suppose their nippiness comes in the form of the powers they use.
I can't think of a good reason why Strength, Constitution, Charisma or Wisdom would apply to initiative. Wisdom is the closest - but no - I still wouldn't even allow wisdom as it just wouldn't be logical 'enough'.
To be honest I would rather all the skills didn't have a particular ability tied to it, but rather have the ability chosen on a case for case basis based on how that skill is being used at any given instance, but this is all off topic so I'll leave that there.