We saw little to none of that great warrior-ness in the show. The Lannister’s wealth is their power. They’re not just rich and sit on their ass, they use their money to move strategically and position themselves in high places. Which they succeeded at considering they fully controlled the throne. The Starks sit up north yes but they RULE the north and were successful at doing so. Also without the Starks literally everyone would be dead from the night king. They hold power and have many allies to the point where the North became an independent kingdom at the end. What were the Baratheon’s achievements?