Not always, this varies from wallet to wallet, as well as according to the different exchanges, there are bitcoin wallets that have higher fees than Ethereum and the matter also differs between exchanges where there are exchanges with low fees and other exchanges with high fees.
Also, it is related to network pressure. You have to choose the right time to send. If there is high pressure on the Ethereum network, the fees are high and if there is no congestion the fees are low.