http://www.wdxcyber.com/bcp.htm
Thus, if a couple has sex 2x/week while the woman is on a pill, over a five-year period there will be zero embryos fertilized that do not implant.
Got a link to a study that can verify that claim?
So it may be difficult to ascertain what's really happening.
So any claims that there would be 0 fertilized eggs in 5 years are just opinion.
The design purpose of the Pill is to suppress ovulation. If it succeeds in its designed purpose, there will be zero embryos fertilized. As to what factors affect how often it fails to meet that design goal, I don't know. Certainly if someone only takes it after intercourse, it can't prevent ovulation from occurring before intercourse.