Is it safe to hold ETH in Trust Wallet on BEP2 chain?

Hello,

I have 2 ETH on Binance.us and want to transfer them to Trust Wallet. The ERC20 gas fee is $45. The BEP2 gas fee is $1. I’d much rather transfer to Trust Wallet using BEP2 since I already have BNB. I just want to know if this is safe/smart for long term. Sorry for the newb question!