This only obviously holds locally. If we imagine a world where the only use for money was to bid in an auction for a single good against others subject to the

This only obviously holds locally. If we imagine a world where the only use for money was to bid in an auction for a single good against others subject to the same taxes (and without pre-existing savings), changing these rates shouldn't affect how much I want to work. I expect that our world does not sufficiently resemble that one for your conclusion to be wrong, but I think we don't get it for free.