Kwired, your logic is sound, but it would violate the NEC to do without electricity!
After all, you're required to have a service, and required to have lights and receptacles. No CofO without a PoCo hookup.
This topic is a frustrating one, since various places have insisted on very different "right" answers, and put them in their codes.
Some places do not allow any receptacles or switches in the bathroom at all. Or, perhaps, they allow only a single, power-limited receptacle for the shaver. Ironically, it's common in these places for the electric water heater to be hung in the shower area .... go figure.
Our Northern cousins have a rule that requires switches and receptacles to be beyond the reach of someone in the shower.
I've seen all manner of things marketed for use in the tub. OK, we can chuckle at the guy who hangs a ceiling fan over the jacuzzi ..... but in Japan there are all manner of TV sets marketd for mounting over the tub. Even here, I've seen TV screens and their controls molded into listed hot tubs, specifically for use by the bathers.
Probably my favorite pic comes from a men's magazine, where the bubble-covered bathing beauty is resting her hand inches away from one of those twist-style timer switches. Yea, I've been in the trade too long ....
Folks are going to do what they will. They'll even run an extension cord, so they can use the hair dryer in the shower ... they must, for hair dryers specifically tell you to not do that!
I think it's time to set the code aside and let Darwin do his thing.