As an engineer who has worked as the hiring manager and directly looked through hundreds of resumes, I can say that with FAANG your resume probably would get pulled out of the stack. But maybe not. I found that, for better or worse, the only resume's that definitely got a look (and if they were above the bar, an interview) were ones that had a personal referral attached to them. It pulls it out of the stack. Frankly, I don't really apply for jobs without having a referral, I think it's often a waste of time. There's no guarantee your resume will make it out of a sea of others that look just like it otherwise.

Second, as other people have mentioned, sometimes FAANG can scare companies away. They see your resume and think "gosh, he's expensive, there's no way he'll sign at the rates we're offering". This happened to my father - MBA, 30 years of experience, he found that companies didn't want to hire him because he would "be too expensive" or "was more experienced" than they wanted.

Combination of those two factors could be it.