Here are a couple of pictures that may help to show the difference between the two types of badges.
The Gold Glass Glitter drum set is from 1963. The badge is a ridgid metal (aluminum?) circle with stamped and painted logo. It is held in place with a metal grommet. The drum badge lists Worcester, Mass. as the (original) factory location.
The Blue Glass Glitter drum set is from the latest date I have seen on a Walberg & Auge drum set--1972. The floor tom for my other 1965 W&A drum set has a 1970 floor tom that has the same type badge as this 1972 set. The badge is made of a thin foil sticker (aluminum foil?) that is glued to the shell, and further secured in place with a metal grommet. You can see that the foil badge has a little area at the 7 o'clock position where the foil has lifted up a little bit. I would not think of trying to remove a foil badge from one of the drums unless the piece of wrap it is adhered to is also removed. Otherwise, the foil badge would be ruined. The foil badges list Auburn, Mass, (the newer factory) on it. The foil badges remind me of the Rogers Big R sticker badges from the '70s.