Just out of interest, what route are you planning to do?

I can think of a few pitches on El Cap where the free climbing is just too good to pass up. As others have said, the leader should haul first, then belay the second (or vice versa, depending on the "stuck pig" potential).

But for the vast majority of pitches, the second will want to jug up. It's so much faster (at least, for mere mortals such as me ... even if I do have a bit of experience on that rock ... which, I'd venture, you don't.)