Did some googling and it does say the stuffs can be used in place of Dexron IIIH, is this same as Dexron III ? See this link under section "Specifications and Approval"
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Further googling of Dexron IIIH shows this illustration. I guess Dexron IIIH is the improved Dexron III.
http://www.oilspecifications.org/general_motors_gm.php