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?