The adjacent article to the bending radius describes how to design a pulley (sheave) for braided line.
The diameter of the pulley is 8 times the rope diameter, and is mated to a round grove in the pulley. So the minimum bend radius is not what we are after, it's the diameter of the pulley.
Dia of pulley/bolt/nail, etc: 0.02” inch x 8 = 0.16” inch (4.0 mm).
A2