I've asked around the internet about the term "sticker planer" and the answer I received said that it comes from the moulding industry. Moulding has always been called "sticks". Usually the reference has to do with a planer with a moulding head. Joiners also carry the name.
The first knives into a 12"-4 sided planeer are usually of the configuration of a joiner. The others can carry moulding heads, especially the side knives which are used for tongue and groove..