Depends on the situation of course, if small and not to noticeable I'll remove, if it is a major lead I'll reduce weight.
Stumper, I didn't see install brace rods in your poll, this is a good alternative to one or the other choices. I've done this type of vertical bracing to three Norway Maples and one Oak with large split limbs. If the limbs or leads, as was the case with the Maples had been removed the trees would have been disfigured.
Larry