The chemists here seem to think that extraction using a mild solvent such as VG will only get the flavorings, and very little nicotine. Even so, VG is supposed to be better than PG. Most people who try this report that there appears to be very little nic in the resulting gloop.
I believe it may need an aggressive solvent to get the nic out. They might use hexane or benzene commercially, not sure. I wonder if PGA would work. You'd have to boil it off, seems a waste of good alcohol