Not really, no. Since base level is independent of jobs, you don't really have much of a difference how you leech them.
There is an exception though, as the 1st job Beginner Weapons have an Exp modifier to them. If you're intent on leeching as fast as possible, do it with a 1st job unless you're trying to make a supernovice, which probably has its own Beginner weapon, I wouldn't know.
Good luck =)