It’s crucial that HBO treats their new series as a clean slate and doesn’t harken back to Game of Thrones too often. However, this is easier said than done. Viewers are already comparing the two shows side-by-side but the new one must have the power to stand alone (via The Beau Life).
This may not be feasible but they shouldn’t unnecessarily hint at future events or leave Easter eggs. That was a massive failing of The Hobbit movie series because it was too insecure to move away from The Lord of The Rings series. House of the Dragon must be its own beast to stand the test of time.