This politician greatly entertained us more by his lack of intelligence than his sense of humor.
This politician badly entertained us more by his lack of intelligence than his sense of humor.
This politician didn't entertain us more by his lack of intelligence than his sense of humor.
I am thinking the third is wrong, but the first and two sound ungrammatical as well. The use of the second verb complement "more by his ... than his ..." seems to muddy the meaning in both the first and second sentences, but I am not sure we can say it's wrong, because semantically they're not quite wrong. What should I make of it?