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The problem is, that is the cake’s sole purpose. If it isn’t consumed it doesn’t mature and yield more cake. The analogy is a well known idiom, but it sounds a bit short when you think about it.
I think it’s more about restraint versus instant gratification. When people have cake it’s usually meant to be shared in some kind of party, so if you go ahead and eat the cake alone you miss out on the sharing which could be said to be the cakes original purpose.