The air hose may have a spiral ribbed helix. This is said to reduce kinking.
The helix may not be compressible or stretchable much.

The maximum curvature without overlap could be calculated given the cord radius, and the radius of the tubing to the center of the central helix curve. (?) And the density of the coils?

https://iopscience.iop.org/article/10.1088/1367-2630/14/2/023063/pdf

- Brian