If your entire question is "will bnb price be high", then the answer is clearly yes, based on how big Binance is getting every single day.
We are talking about a company that is doing all the legit moves they could get, get into nations that have extra regulations in a different website and still be there, put money into project in BSC network to get them bigger and many other good things that help them grow. They have a lot of money, and they are using that money to grow, they do not just take the money and leave, they are putting that money back into things that will help them grow even bigger. Considering how much BNB they have, the price going up helps them too.