wooly-minded vs wooly

wooly-minded and wooly both are adjectives.

Word	Noun	Adjective	Verb	Adverb
wooly-minded	No	Yes	No	No
wooly	No	Yes	No	No

As adjectives, wooly-minded and wooly are synonyms defined as:

Other synonyms of wooly-minded include addled, befuddled, muddled, muzzy, woolly-headed, woolly.

wooly-minded (adjective)	wooly (adjective)
confused and vague; used especially of thinking	confused and vague; used especially of thinking
	covered with dense often matted or curly hairs
	having a fluffy character or appearance