Special treatment? What are you talking about? Do you consider getting the seat you preselected and paid for to be special treatment? Getting what you paid for is special treatment?
If all that matters is getting from A to B, then why doesn’t the airline just move people, for whatever reason, out of first class seats and give them to people who paid coach fare?
Unless you’re arguing that the other woman also preselected and purchased the same seat, and Delta just screwed up and had to choose which booking to honor, then your argument makes no sense.
If the facts are as Coulter presents them then she should have gotten the seat she paid for.
Did Delta forcibly move Ann from one seat to the other?