I got my first vanity pet, Brown Shiba Inu, but when I summon him my battle pet unsummons. In other MMORPGs I have played, you can have a battle pet and a vanity pet summoned at the same time.

Is that how it always works in Archeage, there can be only one pet summoned at a time, either a battle pet or a vanity pet?

I noticed the Brown Shiba Inu is labeled as a battle pet on the pet tab but it cannot attack, has no special skills and no pet armor slots. Are all Archeage vanity pets mislabeled like that or just this one?