For sure if Binance goes down it would make a big effect on Bitcoin, Binance is probably the biggest cryptocurrency exchange in the market, and similar to what happened to FTX it is surely going to have a huge impact on the market price of Bitcoin, it would create a lot of FUD in the market. Imagine how risky the crypto is to think that the biggest cryptocurrency exchange goes down compared to some small investors. However, I don't think it's going to take Bitcoin down when that happened.
The market is surely going to be affected but it doesnt mean that Bitcoin is going to die, I mean the drop can be a good thing because it is a good opportunity to invest, personally, I would like Bitcoin to have a huge drop because that is the opportunity to create more profit in the future. Where all know the risk of cryptocurrency and all of this FUD doesnt matter anymore.