Would graduating with a BS degree give you more job opportunities than with a BA?

It depends on what the actual degree is. A BS is psychology has the same opportunities as a BA in psychology. But a BS in engineering has more job opportunities in their field than a BA in philosophy in their field. I don't think BAs are "light loaders" (I certainly don't have the capacity to study it). But I do think BAs typically have a harder time finding a job specific to their degree because most BAs don't lead to specialized skills. Instead, most BAs lead to general skills (writing, critical thinking, communication, etc) that most college students have.