Some people just ‘speak like that’ using hyperbolic examples. So correcting them on using the word ‘exaggeration’ when they used a form of exaggeration is being the grammar police when nobody called for you. There’s nothing wrong with using the word ‘hyperbole’, but there’s nothing wrong with the word they used either.
Hyperbole is the rhetorical technique.
Exaggeration is just speaking like that.
From context it sounded like he was invoking the rhetorical meaning.
Some people just ‘speak like that’ using hyperbolic examples. So correcting them on using the word ‘exaggeration’ when they used a form of exaggeration is being the grammar police when nobody called for you. There’s nothing wrong with using the word ‘hyperbole’, but there’s nothing wrong with the word they used either.