> Is there any fishing going on in the Black Sea at the moment? (genuine question)

yes, while fishing vessels fairly rarely broadcast AIS, there's plenty of turkish, bulgarian, and even three russian fishing vessels broadcasting AIS in the black sea right now. No ukrainian vessels that I can see, but again, AIS is fairly rare for fishing boats anyway.

Of course. There are three NATO nations and Georgia on the Black Sea, and there is no war in their waters. The Black Sea is not very productive fish-wise, but this is another topic.

>Is there any fishing going on in the Black Sea

Yes, but not a lot since the fish is very scarce and it supplies a small part of the local consumption. Romanian vessels used to fish in oceans. I presume Russian vessels, too.