ChrisPeck wrote: ...I can't understand the opposition to 'unelected' ministers. ...
Briefly, my opposition is this. We have a very weak form of democracy, in which the leader of a party elected with anything like a majority is a virtual dictator, with the only limit being that sooner or later they will make such a mess they will be slung out. Although being a minister is increasingly more about being able to perform well on Today, Newsnight etc., than in delivering any sort of policy, there is still a sort of weak accountability if minsiters are MPs. The unelected House of Lords is indefensible as a second chamber, and one of "New " Labours aspirations was to reform it. Having got rid of the greater part of the hereditary element the House of Lords increasingly consists of people put there entirely by the Prime Minister's patronage. Perhaps the main current example is Mandy, but there are others less prominent.
Your justification of this seems to be a variation of "At least he makes the trains run to time."
(There are of course, political systems where ministers or their equivalents are appointed, but generally in those countries there are much stronger constitutional checks than in the UK)