When I fail, I want it more. I starve for success. Everything else ceases to matter until I win/succeed. I can't deal with it, to put it plainly. I will run against that wall over and over again in as many different ways until I find a way to run over it/through it/under it.
When it comes to failures with people, yes my heart is broken for a bit. Upon further analysis though, I decide that losing this person frees me somehow. I have one less tether holding me in one place, allowing me to explore elsewhere.