Tmbstory,
When the Decision / Call is "Stop", the immediate action is brakes, then the thrust levers / reversers etc in quick order.
During a high-speed RTO on many jets, the autobrake is triggered by retarding the thrust levers, the spoilers by the TLs or reverse selection. If the autobrake is available, it is generally recommended that you keep it in (by not stepping on the brakes) as it's much better at bringing the aircraft to a halt and you can then concentrate on keeping it going in a straight line.
The point I was trying to make was not about what order you did things but how to prevent an
undesired RTO post-V1 by moving your hand away as V1 is called...