The thing now is, even if they allow withdrawals on January 28, it might spark a "bank run" which could lead to a complete collapse of the exchange. I say so because people are already pensive and worried about their money, and if they are able to withdraw it, they might want to move it to another platform, and if it happens in numbers, we know the outcome.
That being said, not your keys, not your coins is more or less cliche right now, it does not matter how many times we say it, whenever situations like this happen, you see that many people use exchanges as wallets.