The main issue with e-bikes in the bike lane is obviously the speed and pacing are not going to match your average bicycle commuter. The same effect would result from a professional cyclist carving through the streets at speeds no one could match.
I think the issue would solve itself as they become more popular. If they can hit speeds of 20-40MPH, then they should be using a full car lane, and can benefit from each other's presence. Professional and highly trained amateur cyclists do this already.