I would not make the assumption that the father will be hospitalized a long time. The insurance and inpatient bed space limitations being what they are (at least in my city), he is may be sent home sooner and in worse shape than you might think.
I helped a friend’s parents who were left as caretakers of my friend after she had a mental breakdown. You can be sent home to family while you are still in pretty awful shape mentally.
If the son is going to have to take care of the dad, he may need a gap year. If other family members will be stepping in to care for the dad, you may want to arrange for the son to live on campus to have some space to himself away from home.