For young men, I totally agree men want sex a lot more.
Once a man is in his 30s (like me), this changes. I'm not nearly as horny as I used to be (other men in their 30s and above have told me the same).
A woman's sex drive, on the other hand, supposedly increases once she reaches 30.
That being said, even a 30+ year old man might appear hornier than his female peers. For one simple reason: For a man, sex is sex. We climax during the vast majority of sex sessions. All we need is a slot to park our sausage. A woman, on the other hand, is less likely to reach climax from sex. So even though a woman might want sex more badly than we do, she's not going to pick just anyone. She wants a man who's going to satisfy her.
As for your assertion that you like the hunt more than the sex itself, I respect that stance. I've heard other men say the same. For me, however, being on the spectrum, the hunt leads to frustrations/mess-ups the vast majority of the time. So as rewarding as it is for a woman to submit to me sexually without payment, I hate the hunt with a burning passion.