Sorry to say it but IMHO you should forget those 10 ETH and move on...
This is advice that most will agree with given that we are well aware of the reputation of this crypto exchange - but there is always a small chance that something positive will happen and that this story will end happily for the OP. By this, I mean the possibility that the exchange may get a new owner or that the authorities may in some way force them to start working more honestly and transparently.
It may not be big money for someone, but I wouldn’t give up on the $20 000 so easily right now - and I’m glad to see people struggling for years for some goal, no matter how impossible something seemed.
I will agree with you that it's great to see people keeping their hopes alive and their faith accordingly but we have to be realistic as well.
The possibility of someone that will take ownership of Yobit and make things the right way, doesn't affect OP. I can't imagine someone accepting the faults, the debts, the wrong deposits, etc of a more than shady exchange and pay for it!
As for the authorities, it seems that they don't give a single cent about how Yobit works. I'm not sure in which country Yobit operates (I think it's still in Russia) and under what umbrella but it's been years that they do what they do and they still operate untouched. So realistically and for this specific case, as OP describe it, you need to move on.
P.S: You can always have one of your eyes open...