Fyi. Paws isn't a madam. She's a total PIMP.
They don't apply to you directly. So the vendor spell you don't want to give to your pet, and the adventurer spell won't give you bonus experience and potion efficiency. However, magic and gold find are calculated based on you and your pet, so in that special case it works.
if my pet lern "animal handling" ( +to damage and other, of pat and minions ). is it work? same question to the spell "adventuring" (+ exp gain)