Does OP mean 1 satoshi equals 1 dollar? I am not sure though. Anyway, I also disagree that the higher the price of Bitcoin the less its volatility will be. I am not sure when we can experience less volatility with Bitcoin - as for now nobody can really tell what the factors that can lessen its volatility. Volatility is an argument why there are those who believe that it is not good for Bitcoin to be replacing the dollar in international transactions. Let's see what can be and just watch developments surrounding Bitcoin.
No! What he means is 1 satoshi is 1 satoshi and that makes sense! Because till date we compare bitcoin in fiat values as per our local currency. And for general understanding, we use USD value of bitcoin. That will not be needed in future if cryptocurrency becomes mainstream. Fiat currencies are inflated due to various reasons and cryptocurrency is somewhat not prone to such devaluation risk.
Probably 10 years down the line, we will see such things happening where we will consider bitcoin value of the products once it becomes widespread. But for now, it's wise to consider fiat equivalent for calculation.