What good would a log file do except tell you that an e-mail message existed at some point? I've read a couple of your posts, and I think you have some serious misconceptions about technology.
No. Only a few make millions thriving off of sending spam. I know i have never done it and i have never made a profit from it.
If you feel so strongly about controlling your email. Get a email server. If not then dont complain about how the free service providers do it cause you agreed to their terms when you signed up.