With all the references to 'i', I'll offer another possibility - removing 'I' as a 'me' synonym from the thematic extras.
I might have pursued this if all 5 thematic extras could have been modified in the same way but one of them doesn't contain an 'I' (a pity, because the grid could easily be reconstructed to remove this thematic entry altogether).
I've made the 5 extras disappear as far as possible (given the conditions set out in the preamble) but as they're thematically 'not there' to begin with, this seems like a waste of time to me.
I hope there is a clever endgame to this puzzle - with appropriate adjustments to all 5 entries - otherwise it's just a question of how we are to interpret a rather clumsy preamble.