I try to remember to turn my pump off whenever not using/needing water. I tell every body in my TH to do the same.
I've rented dozens of TH/TT for years and most of the rentals will cycle the water pump for a few seconds or so intermittently if left on, even when not running the water at all. This shows the water systems is not tight and leak free. Make no mistake, this is not your domestic home plumbing system... far from it.
Some RV water pumps will run every few minutes, some every 15/20 minutes or so, you'll constantly hear pump cycling intermittently. Its got a leak and has to keep cycling on to maintain pressure in the water system.
On my WW fsw 3200, guess I lucked out. If pump is left on, it will hold pressure and never cycle. My WW has a tight leak free water systems. And I want to keep it like that. So I don't leave pressure in the system when not in use.
Why leave the pump on and pressure in the system when its not needed...?
There are rubber washers/orings in many of the fittings, along with small diameter thin wall plastic tubing with crimp fittings. Not a copper pipe, or even a pvc glued system, like ones found in your home. Then add in the stress and vibration from road travel... Nope, No need to keep them all under pressure when not needed, imo.
It certainly isn't like your home on a city water system. Its diffidently more wear and tear on the pump and its pressure switch, all the seals, all the tubing/hoses/fittings/fixtures/WH, etc... Enough pressure remains in the system to flush the toilet with the pump off. Or even a quick hand wash with pump off on remaining pressure.
Also agree with lincster on the WH. Run my hot water heater only long enough to get hot showers, then shut it down. Most of the time only need to run the WH for 20-25 minutes, then shut it down. It will do at least 2-3 long lava hot showers like that.
After the WH reaches temp and cycles off, my 10 gallon WH will keep lots of water hot for a long time(overnight+) for dishes, etc. But I never usually let it run that long since the water gets molten hot with the non adjustable thermostat factory set at (supposedly)140*. The hot water will scald you if you let it, in my TH. Wish it had an adjustable t-stat. Then I'd set it like the normal home WH at 120*. 140* is ridiculous and dangerous for small children especially... One of my next projects is to install an Atwood Electronic Adjustable Thermostat 93105.
jmo
2007 WW FSW3200
RZRS k&t Turbo
2 LT500
1 Lt500 hybrid
F350 CC 6.7PS Platinum