Bitcoin is the price, yes, but only insofar as 1btc = 1btc.
The fiat price is not a true metric. In fiat terms, a deflationary asset will naturally go up in price (in comparison to the reference fiat ccy)
1 Bitcoin will always be priced at 1 Bitcoin because of the fixed supply. It's the hardest form of money we have today, harder than gold. It's rock solid bedrock because it's native pricing doesn't change. 1 btc = 1 btc. All other currencies will eventually be measured against it.
In finance, the root price of a currency is determined by its price measured against another currency, the reference currency. (ex. GBP or EURO measured against USD). But how do you price a reference currency then? The pricing of a root reference currency is contingent upon its global supply.
In the legacy world, we r trained to recognize a fiat currency with a randomly variable circulating supply (usd) as the reference currency. When it comes to reference pricing, global supply is to ref price what a tape measure is to construction.
As a measuring tool, is it better to have one that stays the same length always (1 inch is always 1 inch) or better to have one that randomly gets longer at the whim of the government (1 inch turns into a real 2 inches)?
But if we inflate our measuring sticks, now all your shoe sizes are doubled! Wow sounds amazing your shoes are so much bigger now! What big feet you have! Our assets are growing so fast! No... your shoes always physically stay the same size, it's your measuring tool that's changing, not your assets.
The bitcoin yardstick always stays the same length. 1 btc = 1 btc.
And the amazing thing is, it doesn't matter that bitcoin is deflationary (or more specifically the "deflationary spiral" doesn't actually matter) because Bitcoins value is decoupled from it's quantity unlike all other currencies. We all know, less Bitcoin = higher price. But what price? Fiat price. Your 1 Bitcoin is always worth 1 Bitcoin no matter how many bitcoins are out there. And since Bitcoin is infinitely divisible, when it comes to a deflationary spiral, ot really doesn't matter to Bitcoins what the fiat price is.
A deflationary spiral is only bad for fiat.