I like the photo. There are figure-8 / kite-winders but the cable is not wound figure-8 on the winder. 
I have been winding RG-174 on a home-made figure-8 winder for years and as long you keep the winding slack you don’t strain the wire nor get the kind of kink that damages the cable. It helps to have the cable laid out in a long straight run before winding and not to hold the cable tight in your fingers so it can release any twists.
RG-316 is less tolerant of this and I use over-under winding and again allowing any twists to unravel.
For heavy cable (Westflex, RG-213, LDF 4-50, FDJ 4-50) the cable is laid out on the ground in a straight run and coil made and then rolled along the ground. You need to be careful no to exceed the minimum bending radius on the Heliax types. Well don’t exceed it on any type but more easy to damage Heliax.