HI : i think you will find that you have a reg flow from the end of your brush ?
Its to do with the pressure switch in the pump .ie when it reaches the set pressure it switches off because Ithink by the way you have explained yourself you are running a reducer from half inch standard pipe through to a micro bore via a reducing connection . this tricks the pump to think its pumping into a large hose only for the pressure to increase quickly because it cannot escape through the microbore quick enough hense when the set psi is reached the pump will switch off for an instant ,only to switch back on when the water has flowed out of the pipe to the brush.
A word of warning if what Ive stated is true watch your pipes for bubbling ie blebbing like a tyre because the pressure in the half inch hose is constant.
If Im wrong [then Ill be jiggered]
gaza