The lining certainly has been drilled to access the plunger, as I observed this when I last had it apart.As I suggested earlier, if you can get up to around the 50 mph mark your primary clutch is driving adequately. The problem almost certainly lies with the main clutch. If you don't find the cause of the slipping main clutch to be oil contamination you might remove the clutch shoes and see if the lining in the C7 shoe has been drilled to give access to the plunger adjustment screw. It is easy to drill the lining in line with the plunger if it hasn't been done. Slacken it off a turn, test and see if it grips any better. If it slips the plunger has too much pressure. if there is not enough spring pressure the clutch will tend to bite abruptly.
It is a bit suck it and see to get a feel for it but you do get good at taking off and refitting the primary clutch, etc.
P.S. In the 60-70 years that these bikes have been around there is no telling what a previous owner may have done so check all the parts carefully.
I don't recall any indication of oil at the time (but this was early on in the project and so was about three years ago), and the bike had been left as it was since it last ran, so I think that any oil would have still been there.