There is no statement coming from AA because they too have to be careful with their words. AA is wrong in a sense that they did not allow her to go into the plane bathroom and change. They were agreed to make changes but because of AA staff on their high horses and wants to make this issue any bigger than it is, they told them to board another plane. In other words, my staff don't want to see you on our plane.
I get it that some business has the right to serve you or not but as a smart business, what you want to do is to stay out of the media and solve your problem at the lower level.