You know me, I'm always for leaving anything in the hive "that I can't readily use for myself" for the bees to have - no sense having honey in a jar that I know won't be consumed, when it could be a bit more fuel for the hive to have available.
Doesn't sound like a lot and it probably would never make the difference between surviving a cold spell or not, but it is a good start for them to work on next Spring. Starting over would probably wield the same results, but giving them some foundation to build on may be surprizing rewarding.
I'm going to move my hives THIS WEEK to a more sheltered location, I'm guessing that a good wind-break (over total Westward exposure) can save me 30% on honey consumption over a long Winter. Both hives are 2 supers high and heavy, so I'm hoping that they will be ready for a Winter as long winded as the last few have been.