This lady just seems hellbent on being obnoxious. Yes, Starbucks' use of "tall," "venti," etc. is pretty ridiculous. But there's an easier option: If it annoys you that much, don't go to Starbucks. I love that the cops had to come and forcibly remove her. Her students probably hate her, too.
Also, you live in New York, lady--why the hell are you going to Starbucks for a bagel?!