Several articles have been written on how the government always print more money just to pump the Central currency due to inflations and this has always given Bitcoin and edge over them, we saw the market already heading back to $64,000 which is the highest Bitcoin price since its creation and this further goes to credit the fact that Bitcoin is an anti-inflation currency and is ahead of the central bank traditional paper currency or CBDC.
I don't think the price is rising due to fiat overprinting. While inflation seems to be getting worse, it's not worse by much to encourage people to truly jump to Bitcoin. Also, I believe most Bitcoin users still don't see it as money, but instead hodl it as an investment or trade for profit. For these people, what happens with fiat doesn't really matter because fiat and Bitcoin aren't competitors here. Perhaps one of the factors of the price rising is El Salvador's Bitcoin adoption, and that would mean an increase of people who use Bitcoin as money. But even El Salvador didn't adopt it due to inflation of fiat, since their fiat is the USD.