Is Boys’ State really worth it?

No contempt, just realistic. The internship was previously; he is unlikely to be able to re-start that with no notice for a remaining few days. A serious problem with covid was kids not being able to interact with others and their social skills declined; OP was clear that he was not endangered in any way just felt he didnt mesh with other campers. Spending 3 or 5 extra days with those you didnt mesh with is not the end of the world and could be a good learning experience.
He should talk to the counselor if he has concerns about the counselor’s actions.