Muzzle rise has to do with stock configuration.A significant portion of the recoil energy comes from the momentum of the propulsion gasses (for example, a 40 grain charge pushing a 150 grain bullet, and the gas goes faster than the bullet). Venting them sideways is absolutely not irrelevant, and is in fact the primary mechanism by which brakes work. And since the line of action of the recoil force is typically higher than the restraint on the rifle (your shoulder), any reduction in recoil will also reduce muzzle rise, no top holes required.
That IMO for me has been the best recoil reduction brake design I've ever used. I've had some that claimed to be the best and priced 3 times higher. None have reduced recoil like Nathan's or Ross brakes.muzzlebrakesandmore.com IdahoCTD on the forum. --Jerry
A 7 year thread is what you responded to, but the poster you quoted is not wrong that reducing muzzle blast will reduce muzzle riseMuzzle rise has to do with stock configuration.