How should one advertise a program if it doesn't lead to jobs?
If the basic degree is still Physics with a bit of astro tacked on I don't see the problem. Even pure Astrophysics degrees usually follow all the core physics classes before specialising. 

For example, my Astrophysics degree is probably about 75% identical to my pure Physics counterparts, so as long as students make potential employers aware of this, they should be just as employable as a Physics graduate.

As a side note, perhaps students should be encouraged to study what they actually find interesting, not what will get them a job. They are likely to perform better if they enjoy the material, and with better grades and an enthusiasm for their degree, the jobs will come.