@IlliniDad18, pretty much nobody makes a distinction between a BA or BS in CS (and I’m speaking as someone who’s diploma says “bachelor of science in computer science”).
It’s true that EECS requires more hardware courses, but the folks who made sure I understood that they were in an EECS major were doing software development that had nothing to do with hardware or were already in a completely different field. It’s also true that there seems to be a significant difference in admissions. Whether anyone outside of Cal actually cares about that is a different issue. I know I don’t.