For example, MIT only awards BS degrees to undergrads, so you could major in French Studies or history and get a BS: http://mitadmissions.org/discover/majors
In contrast, a school like Amherst only awards BA degrees, so you'd wind up with a BA in physics, chem or computer science: https://www.amherst.edu/academiclife/departments
However, in my experience, it will still be a distinction without a difference, since very few employers would understand or care about it.
This presumes that the only meaningful effect of a college education is a vocational certification that is presented to employers.
If we presume the BA student has taken a few more electives in outside areas, and the BS student has taken a few more major-focus classes and perhaps more quantitative classes, it's hard for me to see that choice having a serious impact on a student's intellectual development.
At most, it's a signal about the type of person that student was when they choose their degree.
What if we assume that the primary goal of a liberal arts undergraduate degree (BA) is that, and the primary goal of other types of undergraduate degrees (BS, BFA, BSL, etc.) differs for each?
When I last saw a catalog from a school that offered both degrees in the same field, the BS generally required more units in the major field of study and closely related fields and substantially less required "breadth" classes in fields outside of the same major.
Many BA programs I've seen in non-science fields require at least one laboratory science course in their breadth requirements (calculus probably isn't a requirement.)
Arguably, but a BS in Computer Science isn't a Liberal Arts degree, its a science degree that is named that to distinguish it from a Liberal Arts degree (BA, the "Arts" refers to Liberal Arts.)
Of course, if you have a BA in Computer Science, that is a Liberal Arts degree.