Earlier quoted context omitted.
Sorry I should have clarified. The ATS doesn't kick out your resume automatically, it just fails to include you in the 25 top candidates that get forwarded on to the hiring manager. It was very sad to see that my resume didn't make it for a job description that I wrote based on my resume.
Yep, they love a giant database filled with candidates they will never check out.
My feeling is, if you want to work for a big company, work for a small one and make it big. I can say from experience that turns out really well.