I can add one data point to the glute component. I used to see a chiropractor. They are mostly useless for this kind of thing°, but did recommend glute foam rolling, which somehow helps a lot with my lower back pain. I would encourage people to try it even if they're sure the pain is in their lower back. Something about rolling those muscles really well helps me a lot.

° IMO. I'm sure it helps others and is not a point I make very strongly.