I could see the hot tap water being a problem if the water heater was old or malfunctioning. But then, you'd probably notice a problem with it before your water changes.
When I first started the hobby, I was advised several times not to use hot tap water. I never have, so I can't really say for certain if there are problems with it. The reasons I was told not to use it are the metal particles will hurt the fishes gills, and that heating the water softens it (hence the limescale buildup inside water heaters and kettles). This lowers the GH, KH and possibly the PH if you have very hard water.
I've used a large green outdoor garbage bin that holds 40 gallons, every time I do a water change I top it up after. I didn't put a heater in, so the water would be about room temperature (18 or 19 degrees C) Since then I've bought a python, so I don't even warm the water up now. I have yet to see any problems.