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supercalifragilisticexpialidoc when someone has eczema they are told to use an emollient cream why because it acts as a barrier to soothe the itch and prevent any bacteria from getting in... you've paid money for this. You wouldn't want an infection and you surely wouldn't want it cracking too much too quickly and then removing pieces of the ink.
My advice warm the cream up in your cleaned finger tips so it's more spreadable then apply.