ᐅ Self-leveling screed or concrete-look tiles

New here and already have a few questions....

We are tearing up the entire floor and want to install underfloor heating.... Now, we want a hardwood floor in the living room and a floor with a concrete look in all other rooms, including bathrooms, kitchen, and dining area.
My question is: I would really love a polished screed floor (except for the expansion joints) for a nice, uniform appearance. However, friends and two tradespeople have expressed concerns about cracks and similar issues.
I don’t want to seem unwilling to take advice, but I also don’t want to give up completely — after all, you see this kind of flooring in many places. Alternatively, I have (admittedly somewhat reluctantly) looked at concrete tiles. What bothers me there is that it always looks like tiles, either because of the grout lines or the repeating pattern. I want the floor to look a bit like concrete with shadows, stains, and the like (I hope this makes sense).

So, question for the pros: do you think going with the screed makes sense? Do you maybe have an alternative? Or are tiles really the most practical option?
Oh, ceiling heights are from 2.50 m (8 ft 2 in) upwards.

I’ll upload a few pictures...
So far, only the laminate flooring has been removed (which had been installed specifically for sale purposes).

Thanks a lot