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Pets have the same rules as players in regards to procs. They need to be at or above the required level in order to proc which means that you need to be careful, especially on levels where they may summon under. When you think about it though, why would you give any pet that was not max summon a tradeable proc wep? Just make sure you're aware what level your max summon is for that spell group.

In terms of the Sarnak liberator - I would just sell it. I believe they go for a fair bit and would probably help you along more than giving it to your pet. How you should frame your question: if I were paying another character to pl me, would I spend x (x being the value of your wep) to get me that much more xp based on the increased damage my pet will do? IMO it's not worth it but it's your money.