Someone posted about this the other day and pointed out an even more annoying problem than the ones you list: It forces you to look at all your unread emails -

Someone posted about this the other day and pointed out an even more annoying problem than the ones you list: It forces you to look at all your unread emails - and you invariably get distracted by some OTHER email that seems important, when you were trying to log into a website to achieve some totally different important thing.