You're right; we don't elect PMs. And it's true that Brown was elected as an MP by his constituents; and I was elected chair by my local resident's association.

You're right; we don't elect PMs. And it's true that Brown was elected as an MP by his constituents; and I was elected chair by my local resident's association. So what? I still think a PM that doesn't lead their party into an election lacks legitimacy, and isn't a 'proper' PM. The most recent two - Sunak and Truss - weren't elected in that sense, because they didn't have any popular mandate. We don't elect the party of government either, though; few people can name their MP. They vote based on party leaders, as long as voting is permitted. The idea that the PM is "elected by the House" is nonsense. No such election occurs. Being "selected as PM" by the monarch doesn't count at all. It's completely irrelevant (I'm a republican). The monarch appoints anyone that can "command the support of the House", which invariably means the leader of the majority party. But in the absence of a General Election, the appointee cannot claim a popular mandate, and shouldn't do anything that would "surprise" people. Truss, outrageously, claimed to have a popular mandate, relying on the mandate that Johnson won. But he won his mandate more-or-less exclusively on the Brexit thing.