flange remove toilet

We live in an older house and are updating some of the fixtures in our powder room. After removing the existing toilet, I knew that we might have a problem with the existing closet flange. The flange itself seems it good condition, but sticks up about 1/2" to 5/8" above the finished tile...

My subflooring is damaged so I need to remove the flange, replace the subflooring, and reinstall the flange. This flange freely spins but looks like it's not meant to ever come off. Is that true? Is it Plummer time?