Successful beg didn't add to hate, but a failed beg did. So warriors would strategically save their beg skill for key moments to not get unneeded skillups.
If you want more aggro, use every trick in the book that isn't costing you anything, disarm being one of them. Macroing it into a commonly used skill is a good way to raise anything, disarm and sense heading being prime examples.
Don't even put a point into beg and only use it when you really need some extra aggro. Hope for no skillups, because you want to fail, and don't beg needlessly when you're bored. Make a macro to turn off attack, beg, and turn attack back on.