There is nothing profane about breastfeeding. I remember my wife once breastfeed our daughter on a bench at the Riverwalk in San Antonio and no one even had a clue what was going on.
There’s nothing “profane” about urinating or defacating, either...but if you do those in public, you would be arrested. Similarly, breastfeeding is also a natural and PRIVATE act that shouldn’t be done in public.
It’s preferable to breastfeed in a bathroom stall or a car, rather than whipping your boob out in public for all to see.
Then she was doing it right - unlike the woman in the article.