Respectfully, I disagree. Unlike most international leagues that allow ties, the NCAA permits re-entry on substitutions, so there's no requirement that the same players play all those additional minutes. AND the ability of a coach to manage minutes to prevent injury and the bench's exaggerated role in the game is a good indirect way to award wins and losses based on merit.
The other thing I disagree with is that both the NCAAT and FIFA require a full 30 minutes of extra time rather than golden goal. Why continue playing after breaking the tie? The full 30 minutes diminishes urgency and potentially recreates, through both teams scoring, the exact circumstance that was intended to be broken.
I always liked the idea of both teams being required to remove a player from the pitch every three minutes to open up more space and create more opportunities. I suspect that with this approach, penalties would rarely if ever be needed.