> It's still a shortage, but it just doesn't hit rich people as hard.
It sounds like you're assuming that increases in price don't increase quantity supplied. While this may be true in some contexts (e.g. completely unexpected global crisis), there are many cases in which it does:
- In a local crisis, an increase in price encourages shipping in goods from areas not in crisis. Why would someone take the risk of shipping for the same price they can get elsewhere?
- As the GP mentioned, the ability to raise prices provides an incentive for stockpiling goods. Why would someone incur the expense of maintaining a stockpile in exchange for no benefit in a case where the stockpile is needed?
I'd also argue that it's very unlikely for price increases to render all basic necessities impossible to afford, even for poor people. Consider water - even for someone living in poverty what percent of their budget would you guess is allocated to water? Maybe 5%? So even a doubling of the price of water (for context, price gouging laws typically restrict price increases to around 10%) would only increase that to 10%, leaving plenty of room for them to reallocate not-as-essential parts of their budget. For food perhaps the original percent is higher, but there's much more opportunity to substitute cheaper foods in a crisis situation.