You still have the chance to be an all-around Lebron type player, but you'd have to hit the proverbial genetic lottery in getting the skill caps high enough to make that happen. Even if you didnt 'hit the jackpot' and have you randomized caps high enough to make you an all-time great, you could still be special.
You could have the chance to be that PG that rebounds great when all others leave it to the bigs, or that center that hits threes or the forward with enough ball-handling to be a nightmare. If there were real slim odds behind this it would stop a person from just re-creating until they got the greatest caps and could breathe life into the experience instead of making the exact same player every year....
This would minimize the do-all players, balance the playing field while still allowing for some individuality. This of course mean the bucket upgrades would have to go, but i dont think many people would be against that.
Sidenote: Who remembers that madden that would randomize your parents when creating a player to determine your attribute caps? You could get like a mom who was a political science major and a dad who was a star short-stop.

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