turn a blind eye vs disregard

turn a blind eye is not a noun while disregard is a noun.

Word	Noun	Adjective	Verb	Adverb
turn a blind eye	No	No	Yes	No
disregard	Yes	No	Yes	No

As verbs, disregard is a hypernym of turn a blind eye; that is, disregard is a word with a broader meaning than turn a blind eye:

Other hypernyms of turn a blind eye include brush aside, brush off, discount, dismiss, ignore, push aside.

turn a blind eye (noun)	disregard (noun)
	willful lack of care and attention
	lack of attention and due care

turn a blind eye (verb)	disregard (verb)
refuse to acknowledge	give little or no attention to
	bar from attention or consideration
	refuse to acknowledge