heels over head vs topsy-turvy

heels over head is not an adjective while topsy-turvy is an adjective.

Word	Noun	Adjective	Verb	Adverb
heels over head	No	No	No	Yes
topsy-turvy	No	Yes	No	Yes

As adverbs, heels over head and topsy-turvy are synonyms defined as:

Other synonyms of heels over head include head over heels, in great confusion, topsy-turvily.

heels over head (adjective)	topsy-turvy (adjective)
	in utter disorder

heels over head (adverb)	topsy-turvy (adverb)
in disorderly haste	in disorderly haste
	in a disordered manner