The polls that I have seen show Remain at about 50 percent and the two Brexit alternatives (no deal and the May deal) at about 25 percent. Those numbers clearly suggest that the May deal will fail again when it comes up for a vote next week, although the margin may not be quite as daunting. Parliament will probably follow up by directing her to seek an extension, but that will only be possible with the consent of the EU. What will the EU do?
I think it will depend on the margin of defeat. If it appears that May has a plausible shot at winning in a few months, an extension would make sense, and is probably assured. If not, what’s the point? There aren’t going to be any further meaningful negotiations. If the British government can’t decide what it wants, the EU might as well keep the hard deadline and see what happens.