It doesn't seem to me that BTC will profit from the approval of the ETH ETF, because according to some logic, when trading is approved (it still isn't) then part of the money will go to new ETFs, which means that we can expect that less money will go to BTC ETFs.
However, it will be interesting to follow the situation regarding the new ETF in terms of whether the price of ETH will profit from it even if BTC does not grow. Inflows into BTC ETFs have started to decrease in recent days, and this may be due to the fact that some investors have other plans - we will find out soon.