heckler vs bad hat

heckler and bad hat both are nouns.

Word	Noun	Adjective	Verb	Adverb
heckler	Yes	No	No	No
bad hat	Yes	No	No	No

As nouns, bad hat is a hypernym of heckler; that is, bad hat is a word with a broader meaning than heckler:

heckler: someone who tries to embarrass you with gibes and questions and objections
bad hat: someone who deliberately stirs up trouble

Other hypernyms of heckler include mischief-maker, trouble maker, troublemaker, troubler.

heckler (noun)	bad hat (noun)
someone who tries to embarrass you with gibes and questions and objections	someone who deliberately stirs up trouble