it makes a difference as a dual wielding pet will do it properly (like a warrior).
Rusty and fine steel will do the same damage, but if you feed your pet nothing but the best thenvtry and get some gnoll hide lariats from Paw or something (stun proc).
If you find you only have 2h weapons available, the pet will usually refuse them, but put a torch in his offhand (yeah, like we carry those around) and he will then use it but it won't be as efficient as a dual wield
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Above all else though, try and snag some mage weps in EC - so sooo good!