if that happens it takes a very long process for Binance BNB to beat the ETH price.

Current price position (7 feb 2020).

BNB position: $ 21.73
Ethereum: $ 220.77
Very far in comparison.

Ethereum is used by all ERC 20 transactions and the volume is very high compared to BNB and Eth using many available platforms.

While BNB is rarely used for transactions in general on the market, it is not the same as eth.

So, I would argue that BNB might not be able to beat the ETH price.