In the past, I kinda half-assed the band thru belt walk. I'd use a tiny red band, or do like 20 steps. They didn't feel much different or better than lateral band walks or "monster walks" or whatever.
After listening to all the Conjugate guys rave about the benefits of the belt squat machine, I got more serious with the band thru belt. Now I love it. Way, way better than the lateral band walks. Both legs and hips work together/ against eachother in a more useful way. These days, I use it as a real assistance exercise (after squats/deads, before reverse Hypers).
To be fair, I was probably just half-assing the lateral walks.