For craft beads that might use similar terminology, parchment paper is the standard barrier to prevent sticking.

A (or quirk bead) refers to a small, rounded molding (the bead) that is defined and separated from a flat surface by a sharp, recessed groove known as a "quirk". This profile is traditionally used to soften edges on door casings, window frames, and furniture while creating distinct shadow lines that hide joints or transitions. Key Materials & Tools

In woodworking and architecture, (not wax paper) is commonly used to protect surfaces and tools when creating decorative profiles like a "bead and quirk".

A simple, shop-made tool used to "scratch" the bead and quirk profile into wood, particularly useful for custom or curved work. Customer Questions & Answers - Amazon.com

If you are working with this specific profile, the "paper" involved typically serves one of these purposes:

Fine-grit sandpaper (often 220-grit or higher) is used to smooth the curved bead and clean the sharp groove of the quirk after machining.