Yes that's right, Binance continues to be popular, and it looks like it will beat Ethereum for 3 years and then bitcoin 6 years, they are supported by everything to become the next ethereum.
I think BNB will never beat ethereum and bitcoin. Extra hype of some coins can be seen during each bullrun. This is exactly the hype of BNB and DogeCoin during this bullrun. This can be understood by looking at the current crypto market.
Binance is starting to see some regulation issues and I imagine that will only continue to get worse. While this might have an effect on demand for BNB, the demand that is created by Binance for BNB is something that isn't present in the Ethereum space. For that reason, I could see why from an investment perspective BNB would outperform ETH, but you also have to remember that BNB might have more real demand, lower fees, a better user experience, and a massive company behind it; it still is a centralized plaything and not Ethereum or Bitcoin. Luckily, during times of bubbles the money that's being poured in is clueless to these sorts of things, so buying BNB would seemingly be a nice trade to make here. It also can be staked currently for about 3x the return of ETH, which is another potential draw for fresh money.
As a matter of fact, Binance Smart Chain is developing very rapidly now, but it is connected to low transaction fees compared to Ethereum. To my mind, it is incorrect to compare these two projects as they develop in completely different ways, moreover Ethereum is an independent decentralized blockchain as opposed to centralised sidechain BSC. I think that as soon as Ethereum 2.0. launches and becomes more scaling with switching to Proof-Of-Stake, no other chains will be able to replace ETH.