Quote:
"pull the prop to full coarse pitch."
The prop control is not a prop pitch control. It is a prop RPM control.
In my airplane, the lowest governed RPM seems to be about 1350. With the prop control fully back, the prop will be fully coarse if the engine remains above 1350 RPM, and fully flat if the engine remains below 1350 RPM.
With a dead engine, prop control all the way back, the governor will try to regulate at the lowest RPM. This robs less power than spinning a dead engine at a higher RPM, so it is good to do so.
But the prop might not be at full coarse pitch. As you slow down, the governor will be flattening the prop, as necessary, to maintain the lower RPM. If you manage to slow down enough that the engine RPM drops further, then the propeller will have gone fully flat, despite the prop control.
For the Cirrus, I would think closing the throttle, which pulls the hidden prop control all the way back, would be best, but only if 2500 RPM open throttle robs more power than closed throttle at the lower RPM.