There are FUDs with Bybit as well which makes it more risky to try for now, though looking at their status maybe its just a fud and you can try using that exchange as long as you dont store your funds with them. Exchanges now are being more careful, because of what happened to FTX and recently, top exchanges shows their financial status and holdings, probably to gain the trust of every investors and tell the public that they are pretty solid so better not to panic.
Bybit e a good exchange but we shouldn't be looking to keep our coins there because no exchange is safe right now, not even Binance which is the biggest of them. I have learnt the habit of staying off exchanges unless I have one or some business with them. Exchange is good if you know how to at your game, you can trade there with less fund and remove your fund when you are done.
We should not always relax to move from one exchanges to the next one when we see the current situation that is going on in the crypto market. Many had lost their funds and because we are not victim yet, we don't have to a sip of the pain it could caused us.