Hi 147: Very few people recite Shalom Aleichem on Friday Nights that coincide with Yom Tov, Chol HaMoed or Motzai Yom Tov. That would apply to all the Regalim, Rosh HaShanna and Yom Kippur. I would venture to say that it is a mirror reflection of Friday Night davening — No Lechu Neranna, Reduced Lecha Dodi (Sfard) or No Lecha Dodi (Ashkenaz), etc…
If it were universally said, wouldn’t it have been included in newer Haggadas?