How does bitcoin help prevent inflation?

Imagine we're in 2030 and after WW3 all current fiat currencies have collapsed. Slowly bitcoin takes hold as the only hard money still available to exchange for goods and services. By 2040 it's been adopted as the global currency. Governments and central banks can no longer fuck with money and the world is starting to rebuild on a bitcoin standard. All well and good. What I wondered is I often hear how a bitcoin standard would help prevent inflation, but I am not sure if this is true or possible. Let's say an apple costs 10 sats in this brave new world, but one year, there's a bad apple harvest and limited supply. Normal supply and demand economics would still apply, so the price of an apple rapidly doubles to 20 sats. Those with enough sats can pay the increased price, but for some, too expensive, and they can't afford to buy apples. In this example, the same situation would apply as it does now, except the governments could not try and tinker with the economy at their pleasure - or money print anymore.

So, am I missing something? Would a bitcoin standard help prevent this type of inflation or is this just inherent in a free market?