There's a whole long standing organization of sysops dedicated to silencing and blocking the (few, I've never even heard of one myself) places on the WWW that the sort of stuff that you are talking about would come from. If the BBC sysops are on the ball, they'll already be looking at what block lists to subscribe to.
In fact, they've had the system up since June, and I wouldn't be surprised that they haven't already been importing blocklists. Alas, the "about" page doesn't say, as it normally would, what servers are moderated. But I can understand why the BBC would not want to get into the silly game that would (and does) result if it did publish its moderation list.
It's not well publicized, and resources for new sysops being poor is one of the problems with Mastodon et al., but I hope that the BBC people are on the ball in this respect.
* https://writer.oliphant.social/oliphant/the-oliphant-social-...