They could also see your MAC address and lookup which vendor that MAC address matches to.
They could then use the cameras there to see who has a laptop that matches and possibly identify you that way.
I’d say if you are going to do it use a vpn no matter what.
They may still lock you out or block torrent traffic, or possibly block your vpn from working. So make sure the vpn kill switch is on in case it suddenly stops working.
I didn’t have transitional lenses, but I had the same set of lenses for like 10 years. I just used tissues and tshirt to clean them. I never had a problem with visibility, but around the sides, some coating was coming off, but I never noticed it while wearing these glasses.