I don’t know why I think this, but I have it in my head that hot water heaters can have more mineral build up. This is why I always thought you should use cold water. Even though the hot was still drinkable, it might be harder water.
Yeah hot water can leach metals from the pipes that you really don't want to be drinking. This could either just taste bad, or add unhealthy amounts of lead and copper.
We are fast approaching a time when all houses have pex. At this point we've been using it in new construction for decades, and most houses with original galvanized pipes are either already replaced with pex, or getting really close.
Sometimes houses with water softeners will run non-softened water to the cold tap on the kitchen sink for cooking purposes, as some people don't want the salted water.
I have no idea if this is accurate.