It's mostly here in "Murica where I think folks have a problem with it. (I'm sure in some countries in outlawed, and even punishable by stoning, but you would expect people to think differently in a so-called advance society)
I saw that interview you're speaking of and was kind of shocked that another woman would protest against a mother feeding her child.
And I agree with your assessment Books as I think it has more to do with the desexualizing of the breast which causes the most discomfort for those opposed by it.
Some of the reaction by folks I've seen on YouTube or news reports almost make it seem like they find it dirty, or disgusting, it boggles the mind really.
Here is a "What Would You Do" Episode on this very thing. According to this 57 percent of Americans disapprove of public breastfeeding, although it's a least 6 years old.
I bet Trump disapproves of it, along with most conservatives, but I was surprised Bill Maher disapproves? (He can be such a prick sometimes)