[water-data-dude]

No? Your plumbing shouldn’t matter if you’re distilling the water.

Some volatiles are going to come through (which can be mostly mitigated with an activated charcoal filter at some point in the process), but you’re vaporizing the water and condensing it back into a liquid, leaving behind stuff like metal and microplastics.

[scheme271]

Sure, but unless you're distilling the water at point of use, you'll have plumbing to distribute it. The typical setup is to have a distillation plant, some storage for the water and then plumbing to distribute it. Anything else quickly becomes infeasible.