I'm always trusting ETh. The reason is BNB just a new coin that related to Binance exchange. Last few months i saw the BNB price around 600$ suddenly. The Reason that i highlighted the project management of the exchange. They are doing it nicely by bonding BNB. But for the With there is no unique exchange and it boned with block chain.
This is where ETH is different from BNB. ETH is not owned by a centralized exchange, whereas, BNB, it is owned by top centralized exchange. What will happen to BNB if something goes wrong with Binance? Though the likelihood of falling down is very minimal, still the chance is still there. But if you are holding your BNB on their platform, it is pretty secure as they have insurance. Both are good alts to invest with. But up to you how you will allot your funds to them. Honestly, I will put my money on both. Both are promising projects to invest with.
Correct but as the OP asked about trust and which one we actually trust, we have to point out that Binance is certainly one of the trustworthiest players in the industry. They have never betrayed their customers, they always provide strong services and a broad range of reliable products and they are responsive to issues should they occur. From that angle I would say that both networks at this point in time are definitely trustworthy. On a broader scale, Ethereum is simply less prone to external attacks against actors with responsibility because there are none. That is different with Binance and CZ.