Totally disagree.
I watched none of that coverage, because I care not a whit about the Royal Family - but I know plenty of people who were glued to it. because it matters to them. It was a national event and the national broadcaster should cover it.
Same with the Proms, Wimbledon, various marathons. Me, I don't care at all - but I'm happy to pay for it because lots of people do care.
And, of course, the TV licence funds BBC Radio too. I don't listen to the radio - and I positively loathe Radio 4 - but I think this is a service that should be provided, without advertising, free of commercial considerations.
As to the political bias of the BBC - well, the left think it biased towards the right, and the right think it's biased towards the left, and as long as it's irritating both sides, I think it's doing fine.
I pay the licence, I watch a few shows, and a lot of archive and I think it's worth every penny - both for what I consume and what I don't care about much.