I don't understand the sentence. Do you mean "it can't be the underfloor heating"? We've been heating the house like this for two years and the bathroom got warm, and we still have 1.5 bar pressure on the heating.
sorry, of course a "not" is missing
again: it is not the underfloor heating if you have 1.5 bar on it. the pressure is max 0.1 bar if the pipe has a leak.
if you look at your pictures, it is definitely the shower. someone must have taken an extensive shower and water ran from the shower into the hallway. do you possibly even have a slight slope towards the hallway? you could try pouring a small amount of water (a glass or something similar) at the shower and possibly catch it again in the hallway with a towel.
since it can't be the underfloor heating, the shower and orientation scream for it, it will probably be that.
of course it could also be a slightly leaky supply line. does it run directly there?
you definitely need a construction dryer because water has run under the screed and you can't get it out with underfloor heating. there are methods without breaking up the floor immediately.
you should IMMEDIATELY report the damage to the insurance and preferably do not state "last year" as the date of discovery - maybe first check what reporting deadline you have according to your terms and conditions.
Vapor barrier inside the interior of the building?
well, a vapor barrier is really not necessary. but what we do have is a waterproof impact sound insulation. the screed must be dry when laying it, so where should moisture accumulate underneath?!