I agree with your point. The "as" in the term "as a punishment" indicates that it is given explicitly as a punishment, and in lieu of a prison term. Rather than

I agree with your point. The "as" in the term "as a punishment" indicates that it is given explicitly as a punishment, and in lieu of a prison term. Rather than be put in prison, the judge can order you to go work in some capacity without pay, as with community service.