Clearly you are speaking about a competitive event in the first couple of examples, in which you mention things you could experience just by forfeiting immediately after the competition begins. You're not really competing by definition of the word in any of these, you are only there to get something other than winning or as a result of winning. When your motivation to get those things you listed makes you need to win first, then the motivation in entering the competition still comes down to proving to yourself and/or others that you can outperform the opponent (even if just for a t-shirt). Maybe you're competing to see what it's like or for the rush, but you would not have either of those experiences if you didn't enter it with the idea of winning or losing.
i had done competing in various events, physical (martial as well as non) as well as non-physical. i usually, not always, didn't give much thought on winning or losing. i just competed. sometimes i won through skill, other time i lost through luck. maybe for you, competition is about winning or losing, but not for me. i don't know you, but believe me, i know me quite well.