If I answer you no then I'll be lying. Even though my hope is for us to see 1 btc equivalent to 1 btc some day with the price of fiat mean nothing to us, the current movement of the price still gives us the indication in how well accepted btc is and its demand. I do agree with your reasoning but until the I will still closely follow the btc price movement.
Same as me, price does matter to us all and let me add this about the bitcoin's price it is because of the fiat money starts as fiat money so satoshi nakamoto that he will make a digital money that we all know about. The question is when you don't have cryptocurrencies any of it. Can you really buy bitcoin without fiat money? We need fiat money to pay that is why bitcoin price does matter