The value of BNB is controlled by Binance and it is only used on Binance, ETH is widely used in the crypto world so in my opinion, I would trust ETH more than BNB in terms of safety, and with short term benefit I will choose BNB.
I think it's like that too. however, both are highly trusted coins. it's just that, in terms of storage, I prioritize storing ethereum now than BNB. However, I believe Ethereum's price has grown faster than BNB's.