in the original version of this story, the Legionnaires introduce themselves as "the children of the three young super-heroes who befriended Superboy." In some reprints the dialog was altered to indicate that they were the same.
Upon arriving in the 30th century, the story follows the same pattern as the first Legion story with Superboy: robot workers, a tour, ice cream, and the Legion clubhouse. The parallelism is well-done.