Captain America doesn't have any secret identity, so removing his mask doesn't have much of any point. But while fighting Batroc the Leaper, he specifically removed his mask to fight but why he did that? Is it some kind of respect he is giving to a good fighter or is it for some other reassign?

Captain America doesn't have any secret identity, so removing his mask doesn't have much of any point. But while fighting Batroc the Leaper in Captain America: The Winter Soldier he specifically removed his mask to fight but why did he do that? Is it some kind of respect he is giving to a good fighter or is it for some other reason?