I agree. Health do means giving money to people "doing health". However the new buraucrat pops seem to enclose those. To implement correctly your health care reforms (for they to be efficient) you will need buraucrats, and pay them. Their work is what you decribe as entropy. Thus the new systeme seems pretty realistic. To improve my previous post I would then say : all pops pay for "health" buraucrats and receive the same health bonus (population increase, small productivity gain due to beetter health...), therefore I agree that giving tto the poor pops is not a good solution.
By the way I am not sure to understand what you mean by "money doesn't exist int he rela physical world".
I have thought about the bureaucrats too, but then health workers will end up collecting taxes and fighting crime. The good thing is that with more money for the 'crats people would wander from the "production pops" into the bureau pops, simulating the workforce drain. But at the same time, there would be an administration cost creep
on top of health care costs. Also, the number of 'crats determines tax efficiency. So you have consequences all over the place.
Money only exists physically as neural circuitry in certain parts of your brain. It is an experiment in psychology: How do we convince each other to invest energy into stuff that is completely removed from what we have encoded into our DNA?
As Gordon Gekko said: "Money isn't made or lost, it's only transferred from one perception to the other, like magic. Capitalism at its finest: The illusion has become real, and the more real it becomes, the more desperately they want it."