Final answer:
The King of Ingary is likely interested in Howl due to Howl's extraordinary abilities or unique qualities that set him apart, similar to the admiration for Bahram Gur's brave feat or the Mongols' desire to link themselves to Persian heroes for status.
Step-by-step explanation:
The King of Ingary's interest in Howl, as depicted in the provided passages, seems to center around encounters with impressive individuals demonstrating remarkable abilities or significance. For example, the King's astonishment at the music played by a man descending on a stork reflects a fascination with the extraordinary.
Similarly, the King of Ingary might be intrigued by Howl due to his magical prowess or some unique quality that distinguishes him from others, making him an individual of interest in the realm of Ingary.
The story of Bahram Gur fighting the Karg, a heroic act of overcoming great danger, and the Mongols wanting to link themselves to past Persian heroes to enhance their authority, also touch on the themes of valor and the desire for recognition, which can be factored in why a king would be interested in an enigmatic figure like Howl.