I'm still confused ... everyone is going to buy the tokens at the lowest price. If some of the ERC20 or BEP-2 tokens will have a higher price and will not sell, what happens to them? they will definitely must have a price close to each other. How will tokens will be substituted with coins if the ERC20 will be at diferent price compare to BEP-2 , or vice versa ? must be equalized in some way!
Prices will in theory be balanced by arbitragers. Have a look here for explanation;
https://www.investopedia.com/terms/a/arbitrage.aspIf tokens will be on the same chain or there was any way to swap tokens, the price would be balanced by arbitragers. But on binance dex it is bep-20 and on bitfinex it is erc-20. They are completely different and can't be interacted. Because there is no arbitrage opportunity price can be very different.