I think the one BTC is equal to one BTC statement is more about its finite amount then its purchasing power. One dollar is equal to one dollar, if you know in the future the Fed will print more, guaranteeing your dollar will be worth less. So that statement to me is trying to oddly say that each sat is finite because we know there are only 21 million bitcoin.
As to the deflationary hype, it’s multifaceted, gold and silver are arguably deflationary and I’ve known one person who purchased their house with silver and I don’t think they experienced any distress over bull runs. ironically we see lots of distress from folks unable to purchase homes now because of inflation. Not sure the answer I could give you, but even owning a home is somewhat deflationary as we see the equity increase. I think it’s just a part of economics we will always see. At the end of the day I’d rather have something increasing in value than decreasing.