That remains to be seen, the hype maybe will come but what's important is the long term effect.
In terms of improvement, BNB is more visible since its an exchange it's widely use by traders and it can gain partnership, while ETH is just a platform having their blockchain like bitcoin, so the adoption is more on the system.. ETH 2.0 should be a success for us to see ETH to pump again, its been a long time, isn't it?
My expectation is also same as you after Ethereum 2.0. But still haven't accurate time to launch Ethereum 2.0. Binance first service was exchange and after Dex it was become more popular last year. I don't see any news or service from Binance but Binance maximum supply is left some millions. Overall Binance can't beat Ethereum.