There's a structure to all academic disciplines dating back to the Middle Ages. Stick with it.
I know you want to deride "the Arts" as consisting of little more than Art History and Wymyn's studies, but they are actually in a new creation called - Education.
Even Art ~ the real thing ~ is in Liberal Arts, but some aspects of Art show up in Architecture, and Design is one of those aborning studies that is managed out of several different disciplines.
The primary characteristic of a degree from the College of Arts and Sciences is that you met a foreign language requirement ~ either through study, or by testing. If you didn't take a foreign language, or pass a test, you don't have a degree in the Liberal Arts ~ you have something from the School of Business, or the School of Education, or maybe Engineering. My degree is in Latin ~ 'cause I can read it even if others can't!
The formal and I’d say outdated definition is what you state. However, my University specifically lists those courses under “Liberal Arts”.
I agree with your definition however that isn’t how Universities are run anymore. Stupid, really.