House of the Dragon has just had two episodes, but it is already making good use of a setting from Game of Thrones. The residence of House Targaryen is Dragonstone, which serves as the equivalent of Casterly Rock and Winterfell for the Starks and the Lannisters, respectively.
Stannis Baratheon (Stephen Dillane) governed Dragonstone until his passing in Game of Thrones. The seat was soon regained by Daenerys Targaryen (Emilia Clarke) for her house.
Due to the Targaryens being reduced to Daenerys and Jon Snow by the time the area is depicted in Game of Thrones, Dragonstone is a deserted island with an abandoned castle (Kit Harington).
When the Targaryens ruled Westeros during the House of the Dragon, the area wasn't nearly as bustling and important. When the Targaryens fled to Westeros on the advice of Daenys Targaryen's dream, which foretold the Doom of Valyria, they chose to settle on Dragonstone.
Due to Dragonstone's huge relevance to House Targaryen, which can already be seen in episode 2, it will be depicted in House of the Dragon much more frequently in a variety of ways.
When ordered to return to his wife in the Vale, Daemon Targaryen (Matt Smith) instead flees to Dragonstone as an act of defiance.
When one considers that Princess Rhaenyra (Milly Alcock), King Viserys' (Paddy Considine) chosen successor, will rule Dragonstone when she is of legal age, Daemon's action becomes even more egregious to the throne.
.Dragonstone is already being treated as more than a settling point for its characters. It's a place with political significance and claims that can be manipulated by character motivations.
Given the importance of Dragonstone to Westeros, House of the Dragon ought to be able to develop the area better than Game of Thrones. The significance of Dragonstone, which was introduced in episode 2, will only increase as House of the Dragon goes on.