It would be badly hurt in big scale because Binance is one of the most reputable exchange out there and if Binance goes down, Bitcoin's price would be dumped really bad. Even small exchanges could affect the price and imagine if Binance having the same fate as those? But in the end, Bitcoin's price will be recovering after whatever happens, it just takes time to recover.
If you pay attention to today's market conditions, there is an illustration of how bitcoin has experienced a gradual recovery from the SEC lawsuit against binance. The effect is only short term and I think bitcoin has gone through that process for now. Even though binance is a large exchange that has a good reputation, in reality not all of the impact that was caused by them made bitcoin corrected in the long term.
The loss you mean also doesn't have any effect when the user doesn't look panicked by the conditions that are happening, so that at the right time bitcoin has recovered as it has in the past few days. So this is an illustration, that when an exchange experiences the same problem, you don't need to worry too much.