This is actually my second attempt to print Jason's great design. My first attempt was on a CR-10S Pro, but I didn't have my settings dialed in well enough to keep the rings from fusing to the base. I eventually got them free, but had marred the print in the process. I'll be working to remedy my settings.
This print is from a Prusa i3 MK3S and it printed perfectly with default slicer (Slic3r) settings, other than the required 0.25mm layer height.
It was extremely satisfying, though a bit nerve-racking, to "break loose" the spiral from the base. On this print I was able to do that by hand.
Be careful as you spiral inward to free up each part of the coil. Too much force may cause the center to detach.