I hope that you are right and that my fear that it will just cause more people to think breastfeeding women are unreasonable zealots and dismiss the cause out of hand is unfounded and misplaced.
However, just for the sake of analogy...
In the 50s and 60s people had a similar fear about African-Americans demanding equal rights, for instance. Many people, including other African-Americans, though MLK, Jr. and other civil rights activists were pushing too hard, that they were being unreasonable for asking for so much and that they should either accept the status quo or settle for small changes over long periods of time.
I'm not saying this is necessarily the same thing, but its just something to think about.