People are not reading carefully enough. There are two conversations here. Propane on demand hot water heaters (a little flame goes on in a white box mounted on the wall and heats the water as you open the faucet) .. and
An electric shower head - the water gets heated on demand by an electrical heating element inside of the shower head. Scary stuff, but we showered with two of these in two bathrooms for 5 plus years. If this is correctly installed, it is safe, cheap and effective. This is the one that Hillbilly talked about some time past.
Skippy, people here are quite self-sufficient and understand what we are doing clearly. So, no more of this two and fro one-upmanship please. We do have more than one Engineer on the board. In fact, a man that I was married to once was a nuclear engineer. Uhm.. we always had hot water ...
So, back to our electrical shower heads in the DR. Obviously they need to be correctly installed. The correct water pressure is important, otherwise, as someone said, you don't get hot water, or it is scalding. I don't know all the electrical stuff off by heart but will ask my husband for specs. He is an engineer twice over (electrical and electronic) and installed both these showerheads in Dominican Houses with Dominican Circumstances with street power from EdeNorte, 24 batteries and two inverters and a backup generator. OK, the house was well grounded. Our shower heads worked and worked well no matter where we drew power from, although on inverter they ate power quite ferociously. The piece that I insisted on, was where the pipe came out of the wall and into the actual showerhead - have that pipe well insulated with a thick piece of rubber around it. We also made sure that the showerhead was quite high up so that no-one incidentally could touch it while showering.
With long periods of outages (for days and weeks) with no power at all (and we did run out from time to time) .. we put the water from the tinaco on the roof through a coiled black pipe (coiled up on the roof) and I always had something for a shower. I don't know who remembers but we had that period where we had no power, and the propane ran out and the country was short of both diesel and gas. Remember? I could still take a hot shower!