The DUP would not, in this hypothetical situation, matter if Labour voted for the referendum in the hope of then leveraging a no-deal result into a GE. That's a bit torturous as a chain of events though, I would think that they'd vote down a referendum to bring down Mays government and get the GE. However, they're trailing the Cons by 4 points in the latest poll (I know, right!), which means we might get another Tory gubmint.
Time for empirical testing!
The DUP would not, in this hypothetical situation, matter if Labour voted for the referendum in the hope of then leveraging a no-deal result into a GE. That's a bit torturous as a chain of events though, I would think that they'd vote down a referendum to bring down Mays government and get the GE. However, they're trailing the Cons by 4 points in the latest poll (I know, right!), which means we might get another Tory gubmint.