I have interviewed on two separate occasions by Amazon, and only contacted by Microsoft (submitted some forms, but they never called me back). Both times, it was from an internal recruiter making first contact with me. But when I try to reach out to them first (applications or LinkedIn), nobody answers.
Are these FAANG companies usually recruiting candidates on the basis of "don't contact us, we'll decide if we want to contact you"? Other than knowing an acquaintance that works in the company I see no other way to get into an interview more quickly.