But (and I am no expert, and I have never come within a million miles of this level of employer), I decided decades ago that anyone who didn't have the brains to hire me was someone I didn't want to work with. No, really - what you see and what you think you want might not be what you need, and a different employer could be a better match.
I've found in my life that unexpected and unanticipated opportunities usually turn out better for me than ones I think I ought to pursue. Maybe that's only me, maybe not.
And finally, as others have said, interviewing gives you more practice at interviewing, which makes you better at interviewing, and more likely to make it through the inevitable random fluctuations that reject qualified candidates. Randomness is not your fault, but practice at recognizing it and dancing around it will help you.