I must confess that both bnb and ethereum are great projects with a hardworking team and good potentials. When it comes to trust, I'll go with ethereum owing to the fact that the project has withstood the test of time and growth has been encouraging.
That's certainly true, mate. Both crypto projects have the potential to take the world by storm. Binance's "Binance Chain" could be the ideal platform for IEOs and STOs, while ETH remains as the top smart contract platform in the world for truly decentralized and censorship-resistant applications. While they're different in the way they're designed (either decentralized or centralized), both BNB and ETH could serve unique purposes in real life. Companies and businesses who'd want to deal with a blockchain network that's regulatory compliant and focuses on performance above anything else, would choose BNB over ETH. Ordinary people and the average developer would prefer ETH over BNB because of its tried-and-tested blockchain platform for smart contracts which focuses on decentralization/censorship-resistance above anything else.
Many people still trust ETH over BNB because it's been on the crypto/Blockchain space for a very long time. BNB is still relatively new to world, which may take some time before people will be able to get used to it. I myself, trust Ethereum because it's not only a tried-and-tested Blockchain platform, but also because it's the one with the most adoption (aside from Bitcoin) in the mainstream world. There are a lot of options for Ethereum right now, that are not available on the BNB chain. ETH is distinguished by its De-Fi applications, while BNB is more often used for discounts at the Binance exchange. Last time I've heard, BNB will be adopting smart contract functionality, which keep in par with Ethereum as an alternative platform for "dApps". The competition will be fierce in the long run, but Ethereum will still remain victorious no matter what. Just my thoughts