Although legally fine, there certainly is some lack of legitimacy when PMs are elected by party members after the predecessor is axed, because the voters never

Although legally fine, there certainly is some lack of legitimacy when PMs are elected by party members after the predecessor is axed, because the voters never had a chance to assess the person they end up with (in this role). The larger issue is that the new Tories' procedure for producing candidates leads to a winner that has a large majority of parliament against her. There is now a problematic mixture of parliamentary and Tory voter legitimization. That would be resolved by a true general election.