You may also try lowering the drum only while walking backwards. The back of the drum is moving up and will lift the finish from the floor while walking backwards instead of pushing it down between the drum and the wood while walking forward causing more friction and melting the finish more. The bits of finish that are torn from the floor may be everywhere so vacuum these up as you go so you don’t pass over them again. Also clean the dust bag often to get as much finish off the floor as you can.
The finish is probably a build up of shellac and or wax.
The finish will still clog the paper but this may help.
Here is a job we recently refinished, it was shellac and wax.