If someone uses a blockchain created by Binance, you aren't going to win an argument with them preaching about the benefits of open-source.
And if you are using some centralized Binance operated shitcoin, then your choice of wallet is almost meaningless as far as holding your own keys goes. It doesn't really matter if you are using an open source in which you have personally reviewed the code running on a permanently airgapped device with full disk encryption, when the centralized owners of the chain you are using can still just freeze your addresses or seize your coins at any time regardless.