that it is simply not a standard setup with 35°
Don't get hung up on the word standard setup. 35 degrees is simply not very good. No matter what the system is called or how individually it is calculated. But as I said, if you don't mind a few extra euros ticking down the electricity meter later, it's not a big deal.
because our system can also achieve higher supply temperatures. But I could criticize that if it wasn’t sufficiently warm for us with a 35° supply, since we pay people to specifically design it for that.
Basically, every system can do that...it just gets damn expensive.
You can criticize later if it doesn’t deliver as agreed. The question is what was agreed? Did you agree on temperatures for rooms? Otherwise some DIN standard applies, which I don't know by heart. And the temperatures can be fine for you but don’t have to be.
Like I said, handle it as you want. I was just surprised by your “carelessness,” even though you got hints that, I think, at least wouldn’t have been hard to check. If you don’t want to do that, that’s your decision and not a problem at all.
I just wanted to point out that I wouldn’t recommend that to others.