#57 - Aug. 30, 2016, 4:39 p.m.
^The above is correct.
With Legion, as long as you have completed the Broken Shore scenario and the intro questline up through "In the Blink of an Eye" (which becomes available at launch) on one character, you'll be given the option to skip them on alternate characters.
To skip the intro quests speak to Recruiter Lee at Stormwind Docks or Holgar Stormaxe at the Orgrimmar gates.