The point here is the electoral trade-off between what could plausibly happen in the capital and the provinces – with Corbyn entering Downing Street in consequence.
Not only would he hand control to a minority of MPs, but the supposed cross-party requirement would count defectors as endorsement from the Government benches.
Neither is at all likely indeed to succeed May if they nod reluctant assent to any scheme to sign up to the Customs Union – which might not succeed in any event.
But the Prime Minister had to proceed with caution in the No Confidence debate, in order to arouse no suspicion that she might seek moderate Labour votes.