But only 56% in a poll? Is that enough for another referendum and guarantee rejoin? EU politicians have made it clear, ALL UK opt-outs will be gone if UK rejoins, whether it is UK opt-out regarding budget (like paying billions less in annual EU fees like UK did before), to special fishing rights pre-Brexit, to forced to adopt Euro currency and drop Pound sterling.
Rejoining is seen as politically too risky in the short term. As you observe, the UK would not get back its privileged position, there are probably some bargains to be struck but a track to the Euro currency is almost certainly mandatory and that'd be unpopular because people really like our banknotes for some reason and the Euro deliberately just looks like play money, the illustrations deliberately don't show real structures to avoid associations with the nations where those things were built.
But while "Leaving was a bad idea" isn't enough to seriously push for actual re-entry to the EU it's certainly a good sign for the EU and for the Euro. The EU is a massive bureaucracy, and I think we underestimated how much "a massive bureaucracy" might be the thing we wanted in this role..