How does it affect bitcoin at all when bitcoin's volatility is several hundred times higher than the USD over any stretch of time? I don't see the inflation rate in the US affecting bitcoin at all until such time bitcoin can actually hold value more predictably than the USD, and there's currently nothing in the history of either bitcoin or the USD that suggests this will ever happen in our lifetimes.
There is no requirement that an asset that is used as a store of value should be having stable exchange rate. The current exchange rate of Bitcoin is higher than what it had, anytime from 2009 to 2020. That means that anyone, who used Bitcoin as a store of value for at least 12 months ultimately benefited from it. But then if you are going for short durations, like a few weeks or even months, then gold or some other fiat such as the Swiss Franc may offer a better alternative. But for such short durations, you don't need to worry about the fiat inflation as well.