Implementing water-saving initiatives is a smart way to reduce utility costs.

Even new machines can experience issues, and when those issues mean that water is leaking all over your laundromat, you’re going to want to respond to that quickly.It may not be that your laundromat requires that many hours in a week of actual work, but the times your laundromat will demand your attention can often happen unexpectedly.In a typical week, we would work 7-10 hours on our laundromat, either being there physically or working remotely.

Instead, shut off the water to the toilet and place a sign on the door "Art exhibit: Non-functioning bathroom."

This is where we will go back to your primary goal (Owning a cool property that you use sometimes vs. a pure investment property). 

Maytag and Whirlpool are good imo.I personally also avoid ice makers and water dispensers.

The important things to consider about HOA fees is that they usually include some utilities: Water/Sewer, Trash, sometimes shared amenities like gym, clubhouse, pool, and they are saving you the time and headache for property maintenance: lawn care, tree timing, roof, siding, etc.

We bought a home built in 1900, insurance water damage coverage is 10% of the dwelling limit. 

Fire hydrants, sewer, water, road access, electric, flood way or plain, storm pond, storm sewer, setbacks, fencing, soil compaction, lot sizes, etc.3.  

The pool needs a new liner, and I do not know if the pumps work because there is no water in the pool.

From a pure "numbers" standpoint, you're correct.