FD-
V1 is the speed at which the first action to stop must take place.
Your confusion comes from the fact that in the certification process time is added for each of up to 3 actions to take place. Brakes, Speed brake, Idle. The time taken to complete these actions is then expanded in the AFM to allow for the dumb pilot who can't find the Speed brake lever or is slow to brake or select Idle.
This does not mean you have thinking time above V1, it means you have already decided to stop but have a few seconds to actually do it.
I honestly believe that some of the discussions on this subject have clouded a very straight forward operating philosophy.