Not true. Pets will wear armor and it has a dramatic impact on their survivability. Whether or not it's worth it to give your pet gear ... in general no. If you're hunting somewhere that drops ringmail, bronze, patchwork etc that will otherwise rot and you're going to keep the pet a while - possibly. High level people looking to maintain a single pet to tank for them (summoned or charmed) - might be worth it to carry a few pieces around.
For the enchanter/cleric or ench/sham duos out there - totally worth it to carry around a set of bronze. The pet will mitigate much better and you can snag the gear off the mob when you're done using it.
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