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I disagree. By covering the brake with my middle and ring finger and modulating the throttle with my thumb and index finger, I can brake when necessary before completely closing the throttle, and continue closing the throttle while braking.
This allows for smoother braking while slowing down, since the throttle is not chopped in order to begin braking, and allows me to start braking immediately in a hard braking situation. The idea that one should completely roll off the throttle *then* grab the lever with all four fingers seems to be an unecessary step which increases the reaction time necessary to begin braking.
I can certainly understand treating them as discrete steps when teaching someone to ride, as the brain is still getting used to the various controls. But I can't see discouraging the technique of holding the throttle with the thumb and index fingers while covering the brake with the middle and ring fingers. If the situation warrants it, by all means move the forefinger off the throttle and onto the lever during braking to add more leverage, but otherwise I don't see a problem keeping it on the throttle to allow a smooth transition back onto the throttle after braking is finished.