Honestly that looks like typical Ludwig construction of the era after aging under less than ideal situations...at least to my eye. They usually hid this sort of thing under either res-o-coat (white paint) or Granitone (textured trunk paint) but did do the clear shells for a while. Not sure why anyone would add veneer to the interior of a drum but you should be able to tell by looking at the plies from the edge.
I love vintage Ludwig drums but they weren't particularly finely crafted back then (nor were Slingerlands) .
Just my opinion, but I've seen a lot of similar looking Ludwig interiors over the years. Some were nice, some not so much. In the era before clear heads became common no one was really paying that much attention to the interiors so a lot of crap was allowed to slide on by.