nut key vs nut tool

nut key and nut tool both are nouns.

Word	Noun	Adjective	Verb	Adverb
nut key	Yes	No	No	No
nut tool	Yes	No	No	No

As nouns, nut key and nut tool are synonyms defined as:

nut key and nut tool: (mountaineering) a tool for extracting a nut, chock, etc, from a crack after use.

nut key (noun)	nut tool (noun)
(mountaineering) a tool for extracting a nut, chock, etc, from a crack after use.	(mountaineering) a tool for extracting a nut, chock, etc, from a crack after use.