Again, go back to the text. The Hoare kings ruled from the Andal invasion until Aegon’s Conquest, and for much of that period, pursued a different policy. Harmund the Host, Harmund the Haggler, Harmund the Handsome, Qhorwyn the Cunning, these men pursued trade and diplomacy instead of reaving.
The Old Way is not the only way of the Ironborn, it’s a revanchist, reactionary tendency aimed at the New Way.