Everyone understands BNB coin has a good chance of outperforming Ethereum, which is why I believe BNB will either rise in tandem with Ethereum's price or even surpass it. With the bsc network and a huge exchange behind it, bnb is a currency with a strong chance of surviving. But I'm not sure because the future is still unknown; it's possible that Binance will be shut down due to regulatory difficulties.
We can never disclose such a possibility but it for sure that Mr. Vitalik is working on this to keep ETH still in good shape and not too easily outperformed by any altcoins. I believe that BNB has a better future but could it be hard to surpass ETH as the spread of this coin is getting stronger and bigger.
Well, the competition is too tough and the two parties are continue to develop their projects for a better service. If it happens that the ETH gas fee will decrease, I think many people will get back to ETH then and might left BNB behind.