The most effective brake is non-skidding. If the tires are locked up you are out of control. This doesn't answer your question I know. I don't know what "should" happen in the example given.
1953 Chevrolet 3600 Fried Green T'mater (Vern) In the Stovebolt Gallery Caution: Political Statement Man who runs in front of car gets tired, man who runs behind car gets exhausted.