Pretty humongous dick move to use someone else's email address as one's own login for some website, wouldn't you agree? What if it's a popular website, and the owner of the address would like to use it for their id; why should anyone else be able to deprive them of that?
And thus it's also a dick move from the site operator to allow those dicks to do that. So no, it doesn't depend: Just don't accept untested email addresses for anything.