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No! Say it isn't so!
Sadly, it's true. The game doesn't count these two vanity pets as true companions... at least not yet. It's our hope that Blizzard will come up with a way to count these toward the achievements. One solution would be to allow the hat to teach the summon spell, thus adding the pet to your pet tab. Then, much like pets that require a reagent to summon, these two pets would require their hats to be worn. If the hat is removed, the pet would vanish.
Our ruling:
Too many of us have worked too hard to add these pets to our collections. Plus these headgear-summoned critters still gladly accept companion-only consumables (such as Papa Hummel's Pet Biscuits), thus revealing their "companion" status. So breathe easy—they're still considered true companion pets, at least for the time being.