What about advanced courses? Almost nothing in an advanced math course, for instance, can be computer graded by current technology, or even technology reasonably on the horizon. For instance, in a number theory course, how would you handle grading a problem like "Prove that every prime number has a primitive root"? Would you dumb down the course to match the limits of grading technology?
No need to impose these ideas unilaterally. The ideal situation is to have hands-on, qualitative (for lack of a better word) tuition where there is no technological alternative.