It takes more guts to say no to a fight
No it doesn't. Not by a long shot. People who say this have never been in a fight. It always takes far more guts to stand up to bullies, injustice and cruelty.
Nobody gets nervous, scared, or gets "butterflies in their stomach" running away. It's always when you stand and hold your ground knowing that you may very well lose.
Of all the virtues a man can aspire to, be it compassion, generosity, even goodness -- it is courage that is the most rare.