I think instead of saying trust we can say that which coin you use often times and if that is the question I would rather chooses ethereum rather than binance coin because of the fact that ethereum is a very well known crypto and considered as the highest rank altcoin in the market.
I would give the same answer time ago, but now it seems to be more profitable to invest in Binance Coin. It does not mean that I do not trust Ethereum, vice versa. Simply I doubt that ETH has many chances to grow as fast as BNB. However, I am a holder of both alts.