To cure this, I wonder if the linen blanket can be removed and laundered, run it through a cycle with soap and bleach (the laundry kind), and then a second time through the machine with out soap (or bleach) should freshen that blanket up nicely. Put it back on the glazing machine wet, and fire up the machine to dry it out to a nice ironed like state.
As for community/collage darkrooms, it might be just as simple, they get a second blanket for the glazer, and once a week or so, they switch the blankets and get the one that was on the machine laundered.....