It's true that the capacity of the Earth to take away heat is in all practical considerations infinite. But on the plus side, heat rises, so when you run hot exhaust gases through in-floor pipes, you have a classical Roman
hypocaust or what the Koreans call
ondol. I don't think they got too worried about heat going down and not up.
As long as your design does not have a thermal connection to something like a seam of permafrost, you should be OK.