I'm not saying they're untrustworthy but the public perceives them as so, the reasoning for why is less important than the result on the topic of whether or not the public should then be asked to financially support them.
The BBC exists to serve the public, if they're failing that why allow them to continue?
The timing is fair, I think more data is required.
I mean, sure, but this is a game of semantics that leads to nowhere. If you want to watch broadcast TV in the UK, you have to pay towards the BBC regardless of whether you want to or not. That's fairly mandatory; imagine if to watch Netflix you had to pay towards Disney+.