Hallux Rigidus running shoes should they be hard or soft

This episode comes from a discussion I just had with a runner during a telemedicine visit where I was helping her figure out a second opinion and what to do about her hallux rigidus. So she was very confused because she's been diagnosed with hallux rigidus. She's been told that that's what's causing the pain in her big toe joint when she runs and she was a little confused because she said the doctor explained to her that she might want to get some kind of plate to put in her shoe to make it stiffer. But at the same time said that she has high arches and because she has high arches and what we call a neutral foot type that have in part, led to her hallux rigidus, that she needs to have more cushioning in her running shoes. Today on The Doc on the Run Podcast we're talking about running shoes for hallux rigidus. Should they be hard or soft?