Bitcoin doesn't necessarily have to increase in price for it to counteract inflation. In any individual's financial repository, as long as they have an asset that doesn't, by design, lose 2 percent annually, their purchasing power can be maintained. It used to be gold that was tucked away, now it's crypto. With currency inflation, the purchasing power is guaranteed to decrease, but with Bitcoin that isn't a factor. Bitcoin is the solution and it doesn't necessarily take a price increase in order to appreciate the decentralization component. We might be living in a fiat world, but with the inflation rate for most currencies, not for long.
That is true, that Bitcoin is somehow designed to counter inflation. However, the bottom line of inflation is that the prices of goods and services are increasing. That the value of fiat is decreasing more or less 2% annually doesn't speak much about anything outside the rising prices. So Bitcoin not rising in price will not be able to counter inflation. It will still suffer from the effects of inflation.
This is primarily because right now, whether we like it or not, Bitcoin is not independent from fiat, or from the fiat economy in general. As a matter of fact, Bitcoin's price is in fiat. We do not provide goods and services prices in Bitcoin. We only convert their fiat prices to Bitcoin such that whenever their prices increase in fiat, and Bitcoin's price doesn't increase, their prices will also increase in Bitcoin.