So, what is it that the chief executive does, when he is doing the executive thing.
Does he/she not execute the law as it is legislated?
You are of course correct in using the term ‘executor’ as it relates to one “carrying out the legalities of”.
Now, were the comparison between ‘legislationer’ and ‘executioner’, a correction might be in order.
BTW, having the same reaction as Resettozero, I checked the definitions out of curiosity, and was surprised to notice no references to any form of punishment. To the contrary, here are a few synonyms: achiever, activist, organizer, worker, accomplisher.