You might find that this device makes very little difference.
For my RV the hot water supply line to the shower is about 5' from the hot water tank and that line holds approximately 0.03 gallons. There are two procedures I have found to really cut back on water use for a shower. I only use the HW heater when taking a shower so before taking a shower I run the heater the correct amount for the temperature of hot water I want. I can usually tell within a couple of minutes how long to run the heater and I can check the temperature at my sink faucet which is only about 2-3' from the HW tank.
Next, of course, is to take a Navy style shower. Wet down with a trickle of water, soap up and then rinse with a gentle spray. After years of doing this, I can take a shower with a total of very close to exactly 1 gallon. My wife needs an additional third or half gallon to be sure her hair is well rinsed.