I think BSC can stand alone but it will run with binance in all actions of course, it can be aparted.
Bsc is one of tokens, wjth its blockchain that has a chep gas fees, fast transaction, etc. I think stand alone or not BSC always become favorite for everyone.

BNB with the best platform for now, it can make bsc better if they are running together.

So, stand alone is not the best decision for BSC