Yeah that's it, basically the same concept. Actually a lot of the smaller wall mounted ones look just like those showers but with a metal spout and obviously lower flow rate. I don't think the water heaters are that popular here, but the showers are.

They are quite common here and I never heard of anyone getting zapped.

Mine is 10.5kW and on its own wiring run with a dedicated 45A breaker. A pumped power shower would still likely have an electric pump on a 30A breaker if it's on the wiring ring used for regular sockets. Both types must be used with an RCD. I think in both cases we're a damaged seal away from potentially similar dangers.

Exactly. Normally they spray diagonally outward, and the head and mounting pole stick out further than the box so any drips after you turn it off just fall past the box.

No it's not, it's an electric shower unit that can only be used with high pressure water. There is no pump inside, just a constant rated water heater (normally 7.5 - 10.5kW) where the temperature is increased by slowing the water flow through the heater. That's why they normally need pressure at least 1 bar which normally means mains water pressure or a tank 10m above.

Most people here get mixed up between plain electric showers (which this is) and actual power showers (which have pumps / mixers / controllers hidden away and therefore no visible equipment on the wall except taps and shower head).

Is it that we haven't added food processors to our sinks yet?

I would be concerned. The instructions for your exact model will be available on the internet. My Triton shower instructions say it must be at least 1m up from the tray but I think that's just for UK water backflow regulations so might not apply to you. The instructions also say "Position the unit where it will NOT be in direct contact with water from the showerhead" which suggests it might only be splashproof. Inside the unit between the front and back cover there are plastic lips etc which look like they are designed to divert water away from the internal components, but that's probably only good for splashes, not constant spray. Mine is a 240V 10.5kW shower so must pull 44A, it's on a 45A breaker. I wouldn't want to risk making my body any part of that circuit.