What about 

l’histoire de la société, des philosophies et des religions indiennes, ou encore l’histoire de la con­nais­sance de l’Inde.

Those would not be courses involving reading Sanskrit as such, would they?  They would be in French, about India?

Similarly at UT Austin, it looks like students have to take lots of courses called,

Asian Studies related to South Asia

Again, that wouldn't be actual reading of Sanskrit texts, would it?  And there appear to be a lot of courses under "Core" that are not Sanskrit. (US History; Social and Behavioural Science, etc.).  Presumably students take a few of these?  So it's a general humanities degree with a high Sanskrit content.  Would that be right, or am I misunderstanding?

I was thinking about a degree that focussed on Sanskrit language and literature, not a course where Sanskrit was a component (even a large component).  I'm thinking of the Oxford BA, or the BA at SOAS, when it existed, in the days when it was taught by Mr J. E. B. Gray with his legendary cyclostyled, typewritten, four-year course.  Or the courses taught at German universities in the days of the old MA system.