We are cutting bermuda at 3 inches right now.
The study might work in a class room but not out here in the real world.
The class room is on golf courses, seed farms, sports fields and multiple lots in varying conditions. It is taught to agronomists and to the professional turf industry as a whole. A commercial mower may have business reasons to mow longer than the recommended height for a specific species but that doesn't mean it is optimal. The recommended cut for Bermuda can vary between Common bermudagrass and Hybrid varieties with a finer texture such as Tifway 419.
If you want to go against every credentialed professional in the industry and recommend cutting outside the established recommended height range, it might be helpful to identify the type of Bermuda you are cutting and why your real world is right and everyone else is wrong in spite of multiple real world tests and trials. A simple search will produce pages of hits from multiple sources, including commercial lawn mowing professionals, scattered with additional warnings of the damage to Bermuda cutting too high can cause.