I usually read resumes, but I don't really care about them. Candidates usually send "cover letters" (this is all email, so, really we're just talking about the 2 grafs that precede the resume in the resume email) and a cover letter is enough to get me on the phone. If I like you on the phone, I will never bother looking at your resume.
So going from "I don't read resumes" and "I don't care about your resume" to "I usually read resumes" seems a bit self-contradicting. Regardless, I agree with your point of view. When we were interviewing, we got a bunch of impressive resumes but in reality...
If I get on the phone with you because of your cover letter and haven't read your resume, I will probably never read your resume.
Regardless of whether I ever look at your resume, it's very unlikely to have any impact on our hiring process. We use practical tests and, to a much lesser extent, 1:1 interviews on concepts; the practical tests have been so valuable that we're moving towards doing more of them and less subjective interviews.