The bathroom tub faucet isn't working right and needs a new valve ($450)... and the list goes on and on.  

Per my request they sent me a YouTube video (see above) where it’s placing a bracket to hold the filter and disconnecting the cold water faucet hose from the shutoff valve, then installing a water supply line adapter to the cold water faucet hose.

IF water is on turn on every faucet,  bathrooms sink.

Also the $20 faucet with plastic guts from the big box store that's on sale may not be your friend.

. - 1.28 gallon toilets, eco-friendly faucets, eco-friendly shower heads, etc.) as a way of helping this rental property consume significantly less water (enough to save me a few hundred bucks each year...

Running the faucets all throughout the day has also caused moldy conditions in his unit which he of course reported as violations.

His wife said he was out of town on business and that she would try to reach him.As the rain continued, I had to swap the pot for a garbage can from outside, and then a small hole opened in the ceiling and the rain came down like an open faucet. 2 more calls to the landlord's wife and she just kept telling me the same thing...her husband was out of town.And I was out of luck - no sleep that night, and I had to have a garbage can in my bedroom.

There was always a leaky faucet, clogged toilet, broken light fixture, lost keys, overgrown grass, trash in the yard, etc. 

I don't see the downside risk, especially since you live there to monitor for waste such as leaving a faucet running day and night. 

If the furnace is separate from the unit, I also have an inspection clause allowing me to inspect for necessary repairs (leaky faucets/toilets), etc, etc quarterly.