I agree entirely, in that if one has been paying any attention whatsoever, you should realise that the church is a CoE church, and they may let you get married in it, but whining about the details will be just pointless/offensive, even if they're annoying.

OTOH, when you said "The Church of England is a religious body, not a wedding and pretty building preservation service", it occurred to me whether it should be :) That is, three-quarter tongue in cheek, everyone wants churches to be preserved, and I think they should also be treated with respect and not used for whatever anyone likes, but on the other hand, is the natural successor of the last several hundred years of CoE all people in England who have a Christian background, or only people who are actively CoE?

We sort of assume the second, except that the church does generally go out of its way to accept sort-of and mostly Christians. And I'm not sure if it holds water, but I'm wondering if you could argue churches ought to be available to everyone.

(That doesn't make any difference about the complaints, because even if you were to disagree with how CoE handles churches, it's not the local vicar's fault, so there's no point complaining about him. I just thought it was interesting.)