If you win a marathon covered in poop, haven't you still actually lost?
You would still win, as long as you followed the course and the rules.
Depends on the marathon. A large marathon in a city will have significant prize money, smaller local races will not. Say I won Boston covered in poop. Do I care about the poop? Not at all, because I just made $150,000.
If you win a race, you win a race regardless of what you're covered in when you cross the finish line. Losing control of your bowels is a loss with regard to control of a sphincter, and doesn't correlate to not being the first to cross the finish line in a foot race. Someone with dignity wouldn't be so absorbed with the idea of poop