Ok, so air fuel mixture is fixed to BTU output and BTU output depends on water flow. I guess I would prefer that the water heater would dump higher temperature water to the buffer tank and temper it down with a mixing valve. That way the burner output can be more steady: heat water to 140 degF, pause (or lower the heat output), wait until water temperature in the buffer tank drops to 120, turn on the burner.
It takes ~20 sec to raise 0.5 gal of water by 20degF at 15000BTU (minimum) output, so theoretically it should be possible.
@Fitter30 Could you explain why turning the water flow down to .8gal ( hot water) would make a difference? Is it because of turndown ratio?