Irrespective of whether the water is chlorinated or not, it is better to boil it for drinking.
Chlorine and chloramines are implicated in soft tissue cancer formation. When water has a high proportion of organics in it, correspondingly more chlorine is used to achieve a free chlorine residual.
The act of boiling eliminates chlorine and chloramines via steam distillation.
The soft tissue cancer link is difficult to prove, the excess incidence is buried in the statistical background noise.
Port Augusta is a town in Australia, at the end of Murray River supply. The water is heavily chlorinated to suppress cases of meningitis. Three or four excess cancer deaths in a thousand is not as noticeable as a single case of meningitis; the water authorities are not going to be admitting the drinking water they supply is unsafe.
The other problem with chlorination is it does not kill parasites such as giardia and cryptosporidia. Boiling does.
Did you know about 95% of American towns and cities are actually drinking recycled pee? It's why I mostly drank beer and coffee on my visits there.