I think it's okay to log in as long as you have optimum security in place, like 2FA. Anything you do on the exchange requires it, so you are safe even if you log in. That's just for me, though.
I'm an FTX and KYC-verified user, and here is what it looks like.

It shows that it's KYC-approved, and you can then swap to whatever coins you want that are on FTX. You can swap anything that you HODL in your Ledger.
You have to create an account (on your ledger) if you don't have the said coin/token.
