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.
If your problem is only for Binance to shutdown by regulators then they already have a solution on it. They already spread there headquarters in different country with a crypto friendly regulators that's why they continuously changing there HQ during 2017 to 2019.
Coins with token burning feature like Binance(BNB) and Kucoin(KCS) has high chance of price growth in the future because it didn't rely only on speculation but on rule of supply and demand unlike Ethereum and other coin.