I liked the original stand STL, but wanted to have a thicker base and to print in TPU. I measured and made a model based off my older Hario MSS-1 (retailers list it as ‘original’, I bought it in 2014) because I was concerned the Hario Mini-Slim+ used for originally posted model might be different. In the end it probably wasn't. I also wasn't sure if the wall thickness would fit between the inner and outer cylinders of the Axis-Stabilizer model.
Either way I created a .scad file and used the original for a rough guide, so people can easily customize the dimensions if they like. I also made a comparison image, with the yellow cut-away model the new one vs the green stl imported from original object. Yeah, roughly the same. My model has a inner difference in diameter at the top vs bottom of cavity. It fits nice and tightly on the bottom of the base and is easy to take off but will definitely not come off by accident.
If I print it again or if it ends up being unstable, I would edit the OpenSCAD file to raise the intersection height of the outside cone so that the base of the top of the grinder touches that, vs how the area between the threads of the axis-stabilizer rests on the top of the wall of the stand.
The author remixed this model.