Some sites don't. They instead say "if an account with that email address exists we've sent you an email with the reset link". That seems like a nice touch, but

Some sites don't. They instead say "if an account with that email address exists we've sent you an email with the reset link". That seems like a nice touch, but it's pointless if you can still find out that a given email address is a registered user in some other way (such as by trying to sign up with it). So it's just another variant of the "invalid username/password" message.