I consider a proper wall heating system quite legitimate and it is probably done more often. This way, you can save yourself a towel radiator, which usually contributes little to heating the room anyway. A wall heating system is not that much effort. Clamping rails are screwed to the wall, and the pipe is clipped onto them. Then plastered with mesh. The same pipe as used in underfloor heating can be used here, or multilayer composite pipe. I also installed a wall heating system, but in drywall construction. It was about 80 meters. Otherwise, the heating output in the bathroom would not have been sufficient.