Indeed. I spotted that earlier. But for whatever various groups are saying, the reality of the situation doesn't change.
If May's deal and no-deal are rejected, and the customs union is rejected, and so is everything else due to a lack of a majority, we'll reach a deadlock. And if MPs can't come to a decision, someone else has to.
Now you would think that Corbyn's plan for a closer relationship (i.e. a customs union) has potential. But he's added the caveat that we must have a say in all the EU's future trade agreement negotiations. I can't see the EU allowing that, and if they don't, I can't see MPs backing it either.
But a second referendum, if it were to happen, needs at least two options, so we need to consider what those options might be. One could be May's deal, and while the other could be a customs union, the fact we may have to stay aligned with the EU and accept its trade deals without any say in them could push MPs to exclude that option. If that's the case, what else is there?
If there is a worry in this, it's the possibility of a deadlock within a deadlock, where MPs can't decide on Brexit themselves, but can't decide on the referendum choices either.
What we must keep in mind though is that for many Brexiteers in parliament, it's not a case of leaving the EU at any cost. There could certainly be a situation where staying in the EU, at least for now, is the lesser of the available evils.