Floor furnaces were more or less standard in some of the various flats in SF we lived in the 60's. None of them had thermostats; you turned them on and off with a big key with a long rod down to the gas line. Of course there was also a pilot light going all the time.
I never did like them much. They seemed drafty to me, and if you stood on them in bare or stocking feet you'd get burned. Later built structures could have wall furnaces, which weren't much better IMHO. I remember one flat in SF where my tiny bedroom had no heater at all. I picked up an ancient electric space heater at a thrift shop. It was 20's era, I think, with cast aluminum curved legs, cast aluminum frame, a cage, and a big ceramic tower around which an electric element was wound. No on/off switch; you plugged it in to turn it on, and unplugged it to turn it off. On one cold evening I plugged it in before going to sleep, and woke up a few hours later with the room searing hot. I felt like I was dying - at all of about 13 years old. I was barely able to stumble out of bed and open the door to my room to the relatively cold air of the hallway. I think my mom tossed the heater after that. Wouldn't mind having it now, it was a classic thing. And it certainly put out the BTU's.