Although I wish it was accurate, the language on Undercover Tourist is from Universal's FAQs prior to the reopening in June and hasn't appeared on Universal's website since then. The current Universal FAQs state the following:
Will hotel guests be turned away if the theme parks reach capacity?
Hotel guests will be given priority entrance to theme parks during our phased reopening. We encourage our hotel guests to take advantage of their Early Park Admission benefit to access the parks prior to our daily opening to the general public, and we will accommodate hotel guests on a priority basis in the parks throughout the day.
Will hotel guests be turned away if the theme parks reach capacity?
Hotel guests will be given priority entrance to theme parks during our phased reopening. We encourage our hotel guests to take advantage of their Early Park Admission benefit to access the parks prior to our daily opening to the general public, and we will accommodate hotel guests on a priority basis in the parks throughout the day.