How do you know ETH gas fees will be lower in near few months? I don't think it will happen soonTM, so I believe BNB's rise will go on in next couple of months. Even if they fix ETH gas fee problem it won't be near as BNB's low fees. People get tired over 100$ swaps so they switch out. ETH swap fees won't be 1$ anytime.
The die hard fans of ETH believe that the gas fees will become lower once the ETH 2.0 is fully rolled out and that is the general concept the ETH team is giving out as well but with the higher fees some of the projects already moved from ETH to BSC and so is the reason the price of BNB is rising as if there is no limit to the rally and went from $15 to $350 in a short period.
The problem lies in trust, if the BSC is released recently, will it secure the signature seeds for future safety? Meanwhile, the market always welcomes major fomo diseases and losses countless times. certainly not without reason and basis to believe in BSC. Though, they pulled a large user base from ETH, and BSC had a 40% market cap growth and new ATH. If ETH 2.0 can satisfy essential gas needs, and some mere staking features, I am still confidently immersed in ETH.