...the 'pet minion' and this one are the essentially the same thing :) Every single minion/pet in the game has the Lord of Verminion stats in a different window.
If you go to your 'Minion Guide' somewhere in game and rightclick a pet to summon it, it'll appear next to you! It doesn't help you out in combat (like your chocobo does), it's just there to look pretty. So, it's "statless."
If you go to the Lord of Verminion window, you can see the stats it will have if you use it during a Lord of Verminion mini-game.
Sorry that I'm being confusing with explaining it T_T
EDIT: Or, are you thinking this has something to do with the Arcanist/Summoner jobs? This is just a non-combat fluff pet, it has absolutely nothing to do with actual battle :)