OK, here are some pics...
I took some 80 grit sandpaper to the glassine coating on the MMT after finding that 220 grit was getting me nowhere. The left side of the 1st pic shows the results.
At the edges, I noticed that a layer had begun to peel back from the ends of the tube, so I took a deep breath, grabbed the thin sheet and began to peel, praying I wasn't permanently disassembling my MMT.
1st pic is halfway through peeling off the glassine layer
2nd pic is fully removed
3rd pic shows the backside of the glassine layer where it covered a cardboard seam in the MMT. Certainly evidence that I hadn't removed the full thickness with my vigorous abrading!
The end result is a naked cardboard tube, which I further abraded with my 80 grit, although probably unnecessarily at this point. I feel quite certain that whatever adhesive I apply is going to be there for a LONG TIME.
Here's hoping I didn't misunderstand all those posts about glassine!