Again, I agree in principle. But to give a concrete example, my girlfriend and I recently missed a leg of a flight while en route to Europe. Totally our fault. If I didn't have a comfortable amount in savings this would have been a disaster. Instead, within a few minutes, we had accommodations in our layover country and a train booked to our final destination (all at fairly exorbitant prices compared to if we had booked in advance). But maybe this is just an example of alleviating financial anxiety versus enabling meaningful experience.
Also, "significant amount of money" is terribly subjective. I know people to whom $100 is a significant amount of money.