Single-payer: Is the ivory tower this naive?

Many academic physicians support a single-payer system. This physician from Yale writes in the WSJ:

The only solution is to eliminate the HMOs and go to a single-payer system that does not have to be administered by the government. The savings would increase reimbursements to health-care providers (and, it is hoped, stem the annual loss of primary care physicians) so that there would be greater access to care for more patients with fewer hassles.

Dr. Gaines is laughably naive if he puts his faith that the government will use the savings to increase physician reimbursements.