You would get more interesting hybrids of characters, instead pretty much forcing focus on Str, Dex or Int, to get basic equipment.
I disagree, what you'd get is an action RPG with everyone wearing same equipment because stats don't matter. So my mage would be wearing full metal armor. It is the basic RPG format that to were better armor you need STR, to use bows you need DEX, to... etc It not a new concept it what is expected in this type of game and why I play this type of game, because I like that concept. Not saying that your opinion is wrong just that it doesn't fit the genre. to take that concept out of the game would change what type of game it is. Hybrid character are meant to be penalized for being hybrid...
BTW: I chose a class at character creation