Yes. Indeed, a solution like this can be used to save transaction costs. Suppose we withdraw ETH, using the Ethereum network will cost 0.005 ETH, but we can use the BSC network with much lower transaction fees. However, we cannot use this method to withdraw coins to the parent wallet, for example withdrawing Bitcoin to the Core wallet. And we need to be careful before making a withdrawal, because not all exchanges support different networks.
You only need understanding and foresight in that regard because every coin that already has its own Blockchain is of course already supported by several networks although some are not, and if what you are withdrawing is Bitcoin, then there is no way to reduce the size of the transaction fee, because Bitcoin transaction fees are indeed the most expensive so far.