Those explanations make sense so I don't think it needs to be added.
Your reminder about Lorraine cleared up my other question. Since AA licenses are pretty much made for Priests and Priest Candidates (you have to be able to score very well on the barrier test to get one) it seemed weird to me that they'd still have a testing orb for Destruction (and presumably Resurrection). But a strong enough triple attribute mage can maintain a barrier with different attributes for a short period of time in cases of emergencies so it makes sense why they would want to test as many competent triples as possible.
Thanks.