It's possibly worth mentioning for those not closely following UK news that "soft Brexit" now usually seems to mean "remaining a member of the Single Market", and "hard Brexit" usually seems to mean "anything less than that".

I don't personally think this is a very useful distinction. By this definition, a soft Brexit is what for example the Lib Dems are advocating at the moment. However, I think it is also highly unlikely to happen, because to a first approximation it is leaving-in-name-only and thus probably an untenable position for the government to adopt politically. The entire spectrum of other possibilities, from retaining relatively close ties in some respects up to completely walking away with no deal at all, then fall under the single banner of hard Brexit, but treating such widely different possible outcomes as equivalent doesn't seem to be very useful (unless for political reasons you want to try to equate them anyway, I suppose).