Looks like the fibers of the "glassine" material may be embedded in the emulsion gelatin.
Take one strip of your "least important" negatives and try reprocessing the film. Go through the whole process; presoak, developer, stop, fix, wash and examine them to see if the fibers lift out and the emulsion smooths out. Of course you won't have to worry about doing it in the dark, just be sure to do the entire process.
This is rewashing film. We do it often for dirty film, but nothing as drastic as this, but it's worth a shot.