I think out of my own experience in other projects, if they refuse to do so, Binance will not accept them, and they will have to make an exception in Betfury, because Binance is one of the most important Exchanges that exist and it would be stupid to reject an opportunity like that. , and I can say that if they reject it, the token holders will have a great deption, and it is very possible that they will make a massive dump and the token will never be recovered, this happened to a project that precisely because of the devs who did not want to give their identity the project went to hell and was never recovered, so I think this should not be an impediment to block the future of a great token.
I don't know the exact requirements what are needed to get listed on Binance but if they require ID proof and the Betfury team refuses to give that, than that is just stupid from Betfury. I think everybody realizes the importance of getting on Binance and from what I last read if that Betfury is still working on it but it will require time.
Yes, I go with your point it's really something stupid if by chance Binance gives this coin a chance and just by that kind of requirement the team are not willing to provide, unless there's something really special that happen to this coin and Binance will just add it up even without asking anything out from the team.
Listing is also depends on how demanding the project was, the exchange will not waste time not to take advantage of transactions fees.
As far as I know, binance also requires some amount as listing fee. They didn't disclose how much it was but according to the link below, it can be any amount as long as the team behind the project is comfortable with it. There are also some tips there that maybe can help betfury team to work with binance to list their coin on their platform.