disinterest vs neutrality

disinterest and neutrality both are nouns.

Word	Noun	Adjective	Verb	Adverb
disinterest	Yes	No	No	No
neutrality	Yes	No	No	No

As nouns, disinterest and neutrality are synonyms defined as:

disinterest and neutrality: tolerance attributable to a lack of involvement

disinterest (noun)	neutrality (noun)
tolerance attributable to a lack of involvement	nonparticipation in a dispute or war
lack of interest	pH value of 7
	tolerance attributable to a lack of involvement