Hello Jeff and MMD,  I hate to see PVC-E glue described as "lousy
glue".  I have not seen the use of it that Universal may have made, but
PVC-E has many very desirable properties, and will (and has) lasted for
many decades.  Used in the wrong places it can create a mess for the
next restorer.  Used correctly (appropriately) it is one of the best
materials in the rebuilder's war chest for many things.  The where and
where not list is too long for this response today.

Removing PVC-E glue -- and, for that matter, other glues that gum up
when sanded -- is best done by a process that cuts.  A router set up
in a table with suitable edge guiding will allow the edges of pneumatic
boards to be cleaned of cloth and glue residue without removing excess
material.  Scraping with surgically sharp tools will clean residue from
areas impractical to do with a table router.

I have not found the use of solvents to be of benefit in removing PVC-E.
Mechanical (scraping, planing or cutting) is the best method of removal
where it has been used on raw wood, especially if "hot glue" is to be
used again. Solvents tend to drive the residue further into the grain
of the wood.

Thoughtfully,
Bob Hunt