This may make me insensitive but I don't care for public breastfeeding. BF proponents very staunchly insist how intimate the BF experience is yet OTOH want to be free to whip out the boob just wherever, the mall, 6 flags, church, what have you.
This really is just a reflection of everybody going everywhere all the time. You didn't walk down the street back in the 1880s or 1920s (before formula when BF was basically the only option) and see moms BF. It wasn't seen as distasteful, just private. My gma BF all her kids (well into old toddlerhood, I asked her, for contraceptive purposes she said, and she still had 5 kids) and she would no more have BF in public than lifted up her dress or let her kids play outside naked. She said anyway back in the 50s when she had her kids, babies were routinely kept home until they were quite old (over a year) because of the risk of childhood diseases, etc.
Public BF is just a reflection of our times that I don't love. But that cover woman certainly is alienating people who are already uncomfortable with, yet tolerant of, the process.