I'm using the difference in edge case behavior to illustrate why I think the analogy is flawed. I don't think saving in a bank is just an abstraction for putting away non-perishable food. Not just that it's a leaky abstraction, but that it's the wrong abstraction. I think that distinction illustrates a deep difference between the two scenarios. "Saving" in the sense of storing away pork and beans is retrospective. How well you eat depends on how much you saved, but not on what else is going on. "Saving" in the financial sense is prospective. How well you eat depends heavily on what the future looks like.

That isn't to say that savings isn't an abstraction for something. Saving money in financial instruments isn't a "savings" game. It's a growth game. By saving, you make available capital. That capital goes towards growing the economy. Ideally, the growth in future production resulting from your capital offsets the share of production you take out in retirement. It's this element of growth that distinguishes financial savings from "savings" in the pork and beans sense.