No, the floor isn’t nearly hot enough to kill bacteria. We have a tiled floor on our sauna an even that starts to smell like damp ass if you don’t clean it every now and then. And it’s not just sweat you’re dropping there. Sweat washes off quite literally all the shit from your skin (dead skin cells, dirt, chemical residues, snot, hair and everything). To disinfect the floor with just heat you’d ignite the whole thing, which might not be a bad idea.

Carpeted floors in general are a abomination, but one in sauna is at another level.