And yet I have 5-6 different sized Phillips and standard screw drivers. I've never even heard of Robertson screws.
The American bias towards towards the Phillips screwdriver has mostly to do with the gift of patent made to the government in order to support the war effort, putting them effectively into the public domain. They were better than flat screws/drivers, but that's not saying much: when I worked in aircraft maintenance, about half of all of the Phillips-head captive fasteners (Camlock or Dzus type) on inspection and access panels needed to be replaced between periodic (400-hour) major inspections due to stripped heads.