It's not just that the EU doesn't have any interest in that, they also aren't in a position to do so.
The facts are that UK handed in the note two years ago (well, almost). Article 50 says that in about two weeks it's deal or goodbye. Nothing more and nothing less.
Further, it says that if all member states agree unanimously they may grant an extension.
It doesn't say that the EU or anyone has a say in the internals of a country, which would be quite perverse, too, if it did. It doesn't say that the leaving country has any obligations.
It doesn't say that UK can actually revoke the Brexit (only some personal opinions state that, the treaty doesn't).
It doesn't say that a member country needs to do repeated referendums or whatever if the decision doesn't please the EU (or doesn't please the people, or whoever).
What the British do or didn't do during the last two years is strictly their very own responsibility (and problem). The EU cannot and should not dictate -- or even suggest -- what to do. Other than: Guys, you know the clock is ticking, get your asses up, whatever it is you do.
Also they wouldn't want to interfere, even moreso as there really isn't any such thing as "the EU" in that case. Who is "the EU"? Juncker?
What they want is a clear statement and an end to the uncertainity which damages the economy in the entire trade zone, they're not getting that with a referendum.
A deal would probably be preferrable for some industry stakeholders, but a hard Brexit really is indeed not so bad (not for the EU at least) at all as long as it just finally happens. What's bad is that nobody knows just what the British want. If they actually know what they want. Which doesn't seem to be the case.
There's nothing worse than uncertainity. Businesses don't like it, investors don't like it, governments don't like it, citizens don't like it. Uncertainity is worse than war, or an earthquake, or a reactor incident.
I wouldn't be surprised if, for that exact reason, at least one or two member states voted "No way!" on an extension, should it come to that. After all, what benefit would an extension bring? What didn't happen in two years is unlikely to happen in two months. It would only make the uncertainity last even longer.