I don't think you should ever consider yourself a loser when you are busted out of a Tournament, in any place, bubble or not. If you have played your best game and beaten other players getting deep into a game it is something you should always feel pride in.
You might get it all-in with the best hand, and he hits a 4 card Straight or Flush with a rubbish hand, it happens!
Only last night a player with only 2.5 BBs left, shoved with an A/K hand and being on the BB, I called with a 6/7 off as it was only 1.5 extra to call, and having around 24 BBs left it wouldn't do me that much damage if I lost, I hit 2 pair on the flop and took him out.
He lost with the best hand pre-flop, but luck was on my side, and he was unfortunate, but I wouldn't go as far as calling him a loser, far from it, he played well to get as far as he did, but sometimes luck has other players to consider.
Feeling like a loser, at any time, leaves you with self doubt! and if you doubt your playing ability, you should stop immediately if it costs you money, Play responsibly, with money you can afford to lose, and feel comfortable with losing, and you are never going to call yourself a loser! Unlucky Yes! Loser Never!
When the fun Stops, STOP!
Because this is only game 
