In woodworking and architecture, (not wax paper) is commonly used to protect surfaces and tools when creating decorative profiles like a "bead and quirk".
Heavier cardstock or stiff paper is used to create templates for duplicating profiles across multiple trim pieces. Specialized Tools for Bead and Quirk
For craft beads that might use similar terminology, parchment paper is the standard barrier to prevent sticking.
Modern workshops use quirked beading bits to achieve the same rounded edge and recessed shadow line on table aprons or cabinet doors.
If you are working with this specific profile, the "paper" involved typically serves one of these purposes: