From another perspective, BA and BS have different requirements depending on the school. I know Northwestern has a BA at their Arts and Sciences in CS as well as a BS at their Engineering school. BA students complete distribution requirements at Arts and Sciences…so more humanities courses (history, writing, english, foreign language maybe idk the exact reqs) and then BS students have the more rigid engineering core (lots of physics, high level math etc). It depends on what you want to do with the degree. Both will prepare you for most CS careers, but obviously if you want to apply your CS degree to engineering, physics, math then you should do a BS.
I’m not in college yet but I’m hoping to double major in CS and Biochem/Biology…and I want a BA in CS because I am favor the humanties, more liberal-arts core and flexibility to apply the CS degree to health, life science, foreign language etc. I ultimately don’t want to be a web developer or programmer, but a technologically proficient physician (possibly bringing new perspectives to the development of health apps and programs), so that’s why I personally would like a BA. But they really aren’t that different, especially in terms of the actual Computer Science stuff.