I see this often happens and this can be your experience. You must separate exchange wallet and main wallet. Don't logged to exchange with your main wallet private key because not safe and you will lose all you coins.
The renowned exchanges like Binance and Coinbase have good reputation because they keep the funds of investors and traders safe and have no intentions to steal the ether or other form of currency of users on the exchange platform. Since exchanges are liable to attackers and hackers, it is always safe to keep funds or assets in their native wallets where the investor or trader has full access to the login details such as private keys.