I have suspected that it's fine. Boiling and cooling would sanitize and also strip more chlorine out.
Having said that: my last batch of Weizen was called Waterhose Weizen because I did everything with water straight from the garden hose. It worked out fine, so I got one of those potable-water RV hoses just to be lead-safe for my next batches.
I am pretty scrupulous with sanitization on everything else, so perhaps that protects me a bit from bugs introduced from the tap/hose.