If there were real slim odds behind this ( think 1 in 100,000) 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....
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 at a certain skill.