Exactly.
Except the scarcity is largely driven by increased demand due to government stimulus.
Look at the 5y chart of retail sales numbers here, and how it jumped significantly right after covid hit.
https://ycharts.com/indicators/us_retail_sales
The reason inflation hasn't shown up much in modern times is because supply chains are more elastic than they used to be, and are able to scale to meet new demand quickly. This way suppliers make money via increased volume rather than by raising price.
However, we're now seeing shortages in goods that are hard to scale up quickly. For example, the chip shortage.
In general, there are three ways out of a supply shortage.
1) Increase supply. Pretty straightforward. Setup a new factory or scale up production in existing factories.
2) Fall in demand. Perhaps could happen due to fading government stimulus and effective wages declining. However, lots of major corporations are raising wages significantly to compete for unskilled labor due to the current labor shortage. You will find a lot of articles if you google this... so waning stimulus may not be enough.
3) Raise prices. Look at any Supply/Demand chart, one of the axes is price. If supply isn't sufficient to meet demand, price tends to rise until the two are in equilibrium. Otherwise the supplier is leaving money on the table. Assuming increasing output is non-viable.
My take is that 1) and 2) are mostly out of the picture for the chip shortage in the short term. I doubt new fabs or production capacity can be scaled up quickly to meet the backlog of demand in a reasonable timeframe... though I'm not an expert in the space. We'll likely end up with 3).
Beyond specific shortages, shipping costs in general have skyrocketed, likely beyond the margin of many goods we import, which necessitates price increases on its own. Check the Baltic Exchange Dry Index.
There's so much more that can be said here, but will avoid writing a huge essay :)