Does it really make sense that Khan would feel Kirk left them to die, though? Kirk left them to build an empire (on a planet he already knew would be rough), which Khan himself chose. He knows that future adverse conditions were caused by the Elborians, not Kirk. What is left to blame Kirk for, exactly?
Well, that goes back to TWoK: “Admiral Kirk never bothered to check on our progress.”
Granted, Khan would’ve resented that if he had known there was a minder and nothing went wrong. Probably would’ve even if he’d found out they were being watched because they were rescued, but the authoritarian mindset is allergic to accountability: everything is always a reaction, it’s always someone else who made them do it, nothing is ever their own choice.