I have a feeling people that are adamant about having summons as a pet never played SMN in FFXI. The system was broken and extremely inefficient. If S-E were to improve upon it? Sure, bring em out as pets. But many many years as a summoner in FFXI has made me very skeptical when it comes to S-E's ability to implement pet jobs correctly.

Edit: Loved your video btw. Quite a brilliant idea i think.