Is feigned disinterest a natural part of courtship?

I’m watching the Mourning Doves doing their mating ritual in my backyard. The female lands on the fence and a male lands near her. She edges away and he moves in closer until she seems to become annoyed, then they flutter and “crash” into each other. The female takes off to another part of the fence and he follows her again.
I think they like each other.

Humans do that too, I’ve noticed. Why are we animals attracted to conflict when choosing a mate?