Number of Players and Starting Hands

[TrueBritt]

Tell me if you see anything wrong with this reasoning:

Ignoring blinds and rake, if 10 people are playing, only 1 hand will win out of those 10. Therefore, 1/10 of starting hands are winners in the short and long run. Therefore, we should play the top 1/10 of hands when 10-handed, the top 1/5 when 5 handed, and the top 1/2 when heads-up.