I've already done that. Unfortunately, my stats show up as green no matter what, and health/magic/stamina stay the same. As a result, it's difficult to tell if they're actually still equipped, and that the change of stats during transformation takes this into account, or if they unequip and there's simply some sort of check to see if the player was using the vampire artifacts during transformation.
You mean your stats are the same whether or not you transformed with one of the rings equipped? That would suggest that the rings don't give their health/magica effects when in lord form, only the special bonuses (claw damage and magicka regen, since the latter appears to be different from standard magicka regen enchants). I thought the rings did give their stat bonuses while in lord form, however. E.g. if you have necromage and transform with Ring of the Beast equipped, then your health will be 125 points higher than it is if you transform without that ring equipped.
Also, have you tried custom-enchanting the Amulet of Gargoyles and checking to see if the custom enchants carry over? Someone else has tested it with some heavily resto-loop-boosted enchants and found that they did not seem to carry over (although they did work while not transformed, and the extra gargoyle power worked while transformed). Perhaps try enchanting without using a potion to boost the magnitude?