I do.
Category theory is something that appeals to some mathematicians, and not to others. Those who it doesn't appeal to are likely to wind up in fields like combinatorics, functional analysis, numerical analysis, and so on. If you inflict category theory prematurely on the latter group, people who might have proven quite talented will be driven away from mathematics.
And I feel this quite personally. I left mathematics for other reasons. But still, had I had to deal with category theory first, I'd have never gone into mathematics in the first place.