Hi Lawrence,
there are a few considerations before you make that decision:
1- Do you store the coach with it plugged into shore power?
A- If yes, it is ok to leave it on because it is in "standby mode"
B- If no, turn it off because it will drain your house batteries until they are dead.
2- Do you have a residential refrigerator?
A- If yes, you will have to have it on all the time you are using the coach.
B- If no, leave it off so as not to drain the batteries.
3- Do you dry camp?
A- If yes, leave it off unless you want 120volt volts for tv, satellite, small appliances to operate then turn off.
B- If no, leave it on while using the coach, keeps you from resetting your clocks.
4- do you store your coach with the battery disconnect turned off?
A- If yes, Inverter has to be off because it is connected directly to your house batteries.
B- If no, The answer is the same as above.
Have fun, Fred