insensitivity vs inability

insensitivity and inability both are nouns.

Word	Noun	Adjective	Verb	Adverb
insensitivity	Yes	No	No	No
inability	Yes	No	No	No

As nouns, inability is a hypernym of insensitivity; that is, inability is a word with a broader meaning than insensitivity:

insensitivity: the inability to respond to affective changes in your interpersonal environment
inability: lacking the power to perform

Other hypernyms of insensitivity include unfitness.

insensitivity (noun)	inability (noun)
the inability to respond to affective changes in your interpersonal environment	lacking the power to perform
	lack of ability (especially mental ability) to do something