I think there's a place for stubbornness. When there's no consensus, maybe it's better to err on the side of your own belief. Maybe you really have some unique perspective that makes you correct. And when you're against the masses who don't think much at all, maybe it's best to be stubborn.
But when the people you've chosen to surround yourself with, the people you most respect, tell you that you're wrong, maybe that's not the time to be stubborn.