We have a safe driving course at work which I recently attended as I drive over 35.000 miles per year.
Part of this is to teach us "block changing" all drivers are taught this as a standard now. Particularly when changing down, stay in a high gear until the last possible moment and then drop to the appropriate gear for the speed once accelerating again.
6 to 4 to 2 is not unusual. Seems strange but it is what is taught now.