Does this coil topology work at high frequencies?
AFAIK Woks are intended to be heated unevenly, the bottom gets very hot while the sides are cooler the higher you go up the walls. 

You might be better off by adding a thicker ferroelectric "heating ring" around the bottom or just placing it on a commercially available Induction Cooktop Converter Interface or diffusion disk, to more closely simulate the rising heat from flames.

High-temperature Litz Wire rarely goes above 300°C while a gas flame exceeds 1500°C and an electric stovetop 700°C, having direct contact of the Litz wire with the wok would not be a good idea. (Actual cooking temperature in the pan is much lower than this).