Sure, and that's not exactly comfortable (maybe "reelected" shouldn't be a thing, idk). But if the people reelecting you are also the patients then the particular conflict of interest I'm worried about is not present.

Yes, that's why NHS is so well funded. Oh, wait, it isn't.

Government-organized resource allocation is, more likely than not, bad to very bad.

True, and we need to get our shit together about that, but it's not an apples to apples comparison. A government allocates 100% of the available healthcare funding towards healthcare outcomes. A corporation (in the US) allocates 80%. You can tolerate a sloppier slicing if you're starting with a bigger pie.