No doubt the 'blast forwarder' has some effect on the 'muzzle brake' due to the restriction/re-direction of exhausting gases. The (recoil) brake acts by allowing the muzzle gases to exit sidewise rather than forward while 'pushing' forward against the ports in the re-direction process. Anything that restricts this action will reduce the 'braking' action of the muzzle device. IMHO, muzzle brakes are most effective with cartridges that have a large amount of muzzle blast--higher powder capacity, higher pressure, or shorter bore length.
I have a matched pair of 6.5 Creedmoor rifles- one with a suppressor and one with a 'blast forwarder'. There 'seems' to be more recoil with the blast forwarder but w/o doing a test by having someone else shoot the rifles blindfolded, I can't positively confirm this.