"The centerline of a single coil of a canted coil spring can be defned by the parametric
Equations1:... "

Given the parametric equations, a script should be possible to create a curve of the centerline. (Based upon a very brief look
at the equations...)

A sweep with a circle would resemble the physical coil. Not sure if it would be exactly the same.

Should try Flow?

The spring is not canted until it is inserted in a circular groove...