Ok, heres my opinon. This is based on my experience, which seeing as this is STW is FACT.
Anyway, after a break of 5 years from running I’ve started again. I’ve been running in some traditional style Asics, some minimalist-ish Nikes, and a pair of Merril trail gloves.
I’m starting to think I feel more difference from fit rather than thickness of cushioning. The Nikes have got not very much in the way of material on the toes, and the Merrils have got a big toe box and really narrow heel.
So for me, a flexible toe seems to be more important rather than the amount of drop.
TBH in the past I’ve run in Walshes, Inov8s, road shoes from proper running shops. I can’t say they ve been that different other than fit, so if I was you id just get some that feel comfy and just go for a run.
Unless you’re competitive the beauty of running is not really having to think about it or kit, and just doing it (sorry for the semi-nike quote)