Its anti-inflationary because there are a maximum number of...

Its anti-inflationary because there are a maximum number of Bitcoins at 21m and the supply from mining over time is fixed. Over time and with another short term economic crisis there WILL be what is effectively massive money printing and rates will linger at zero. In a hundred years you will end up with 100x the dollars in the system and those dollars will have 1/99th the value they did in the present. You own one Bitcoin today, in hundred years you still own 1/21millionth of the Bitcoin network. Meanwhile what will inevitably happen to the total supply of USD?

Of course *price* of Bitcoin will change and potentially will even go down in an environment of economic catastrophe as people attempt to move out of riskier assets. Its also benefiting currently from the availability of cheap money in low interest rates. PRICE in fiat currency moving doesn't change the fact that Bitcoin is an anti-inflationary asset. PRICE in fiat currency can go down, that doesn't change the fact that the number of Bitcoins as a portion of the network owned is fixed. 2020-2021 is too short for consideration as a "high inflation environment" but its certainly the closest proxy we have in recent history and it offers some clues.