Sometimes I feel that us fans care more about the team and wins/losses than the players do.
Definitely. And I'd wager the fans care far more about the losses than the wins. Meaning, we win and it's "ho-hum, we should have won that game." Very little excitement, very little praise. We nitpick wins because they aren't good enough, then quickly move on and forget them.
Losses, though. Whoa boy. A loss fuels every conversation for years. We talk more about our losses to Wisconsin than our wins against Michigan. We talk more about our losses to Minnesota than our wins over Northwestern. Losses are the focus. Just look at the post counts skyrocket after a loss.