Not really. My intuition would be less tax just means different kinds of things purchased, not really a change in the total amount available in the pool... I'm not well learned about this stuff, but I don't see it being intuitive at all
I.e. tax money I would think eventually circulates back into the same pool, same pool non-gov entities trade in.
My intuition tells me the total pool size available at any given moment shouldn't be drastically different and wouldn't be correlated to tax amounts in an obvious way.