I can't help but imagine that 1L of water would produce plenty of steam to clean us off. If we then have a quick shower, say 30 sec. Not only are we saving water, but probably also time, and you get a much cleaner, fresher feeling.
We use about 35L of water to shower per person each day (I know I use more), and assuming we have 1 shower a day (I generally have 2), then we are roughly saving 30L/p/day.
We use about 120L/p/day so saving 30L is a 25% saving. Now that is pretty big.
I'm not pretending I know how to get everyone to steam instead of shower - perhaps Las Vegas hotels could include steamers, and encourage people to steam followed by a super short shower. But just saying if we wanted to make our water last longer, we do have a way that doesn't involve loosing anything of real value (I'm assuming everyone agrees that a quick steam is equivalent to a shower).
* Daily water use per person http://www.melbournewater.com.au/waterdata/wateruse/pages/de...
* Water use for shower, http://www.yvw.com.au/home/inyourhome/understandingyourwater... ~ 7L/m * 5min = 35L/shower