Many people have already anwered that AP pets "give both SP and HP", but the screens i've seen so far show two different skills. One for SP and one other for HP.
Now, since pets only get one skill point per level, a AP pet would only be able to give SP and HP for half the value of the free pet (ex @ lvl 10 free pet gives +50 SP, AP pet give +25 SP and +25 HP)
So unless your class values HP more than SP i fail to see the usefulness of AP pets over the free one, and for 1k7 AP that seems strange. Am i missing something here ?
On an other note: a full list of Data chips would be nice.
I for one couldn't care less for the two listed, but the SP regen chip and the ACC chip both rank very high on my "do want!" list