naomi, my comment went back well before May: the Tories have always been split over Europe, Labour much less so; Camerion called the referendum in hopes of uniting the party and fending off Ukip.
It seems clear most MPs don't want a no-deal, but while that's still on the table I can see why Corbyn doesn't want to be put into a position where any such outcome has his fingerprints on it. Given that the actual issue of Brexit has never been party-political (both parties have been split on it), it's not necessarily the case that Labour supporters will be unhappy: some will be, some won't. But it is never the opposition's job to help the government sort out its own mess.