They have an insteresting system here in Guatemala at the cheap and maybe not so cheap hotels. It never gets very cold here and piped hot water is for many a luxury (although my cheap $1/night hotel had hot water in the shared shower in 1971. That we shared it did't save them any money on hot water, but I digress.
Now what I've seen in I think 4 hotels out of 8 (maybe more since I only remember 2 that didn't use this) is an elextric heater right at the shower head. It's about the shape of a stick of butter, but 150% as wide and as high. The same length.
The wires are showing and sometimes just taped up, but of course they are above the pipe so they don't get wet.
It works almost immediately. I don't have to turn on anything but the water (one handle) and it can actually make the water hotter than I like. Tonight it was that way so I opened the faucet more and the cooled it off a little (since it only has one heat setting, I think. )
I can think of a lot of places in the US this could be used.