I think you could do that, however, you then have a lot of moisture in the floor and the drying process can take a very long time, which is why I would keep my distance from such a wet solution.
I believe the solution with the beam layer with filling in between would appeal to me, for example, foil at the very bottom, then laying out about 2-4 cm of Styrofoam boards over the entire surface and then placing beams floating on top at the necessary height. Between them, an inexpensive filling material especially for impact sound, and then continuous OSB screwed onto the beams. If the top layer (Fermacell/OSB or similar) is then uniformly at the same level for the other rooms as well, there should be no cracks at the edges. I think sometimes OSB is also laid/screwed twice in opposite directions.
Something along those lines would appeal to me, but of course, you should still gather various information about this; however, at the moment, I can see nothing that would contradict it.
The tradesman you consult each time usually tells you what he knows and what he would do with his usual materials; he rarely has to worry about costs because he can usually pass them directly on.
Take a look at various options for dry construction of a floor on the internet; there are countless.
Concrete would be absolutely out for the reasons stated above, and with 28 cm height, quite a quantity/weight accumulates.
A friend of mine built a larger podium for himself by laying Ytong stones flat next to each other on the floor and then tiling on top. There’s so much out there...... :D. You just have to "somehow" bridge this height and there are countless variants, from which I would take the simplest one for myself. Because of the risks mentioned here (cracking), I would design the top layer with OSB/Fermacell or similar. Whether a mat prevents this, I don’t know.