I would say that binance coin bnb and binance smart chain can compete with ethereum in terms of price but they cannot take over in terms of technology. Ethereum is pure decentralized chain and its hard for anyone including bsc to compete it.
Ok, I get it.
It really depends on where we rate and the users who are rating it and over time Ethereum may be a tech issue that is superior.
However over time the BSC became superior in terms of lower costs than eth even higher which was considered a positive for users as an alternative.
I think they can actually compete in terms of technology and development because Binance has huge resources that they can use to develop, however there are two main problems:
a) It is a private chain, so you are always under the foot of Binance and manipulation is likely.
b) The ecosystem is not even half as big as the ethereum. Much less projects, much later.
Thus, it will not become the "ethereum killer", simply another chain - yet I admit a particularly well funded one.