I don't think BNB will overtake ETH, BNB have a goof improve but it's not anough because ETH is more popular and have a good platform and community.
ETH has a reason to be better, and BNB also has a reason to grow better. all have the opportunity, but depending on how the market and the community are assessing a more appropriate position.
maybe now ethereum is better, but it is possible BNB also has the opportunity to be able to match the achievements of ethereum.
ETH will strengthen its place with ETH 2.0 Main advantage of ETH is the number of developers working on it.
BNB is also growing very fast, adaption is going very well. Many new projects at BEP2 and some already swapped from Erc20 to BEP2.
ETH 2.0 will help ETH being strong but if not more new features will come to ETH, BNB will take its place for sure.