As far as I know, ETH and BTC have different networks, so it won't make sense when the ethereum merge in the future will affect bitcoin fees because they both have different networks.
Yeah, that's correct and I did cross check about the point created by @OP and the article, which the article didn't mention anything about Bitcoin or BTC. It must be a joke if Ethereum merge will affect to Bitcoin fee or price, I mean actually Ethereum did follow Bitcoin price, not Bitcoin follow Ethereum price.
Yes, that's true, the price of ETH and many other tokens does follow the BTC price trend, for example now the BTC price is corrected and it affects the prices of other tokens.