label vs distinguish

label is a noun but distinguish is not a noun.

Word	Noun	Adjective	Verb	Adverb
label	Yes	No	Yes	No
distinguish	No	No	Yes	No

As verbs, distinguish is a hypernym of label; that is, distinguish is a word with a broader meaning than label:

label: distinguish (an element or atom) by using a radioactive isotope or an isotope of unusual mass for tracing through chemical reactions
distinguish: mark as different

Other hypernyms of label include differentiate, secern, secernate, separate, severalise, severalize, tell, tell apart.

As verbs, distinguish is a hypernym of label; that is, distinguish is a word with a broader meaning than label:

label: distinguish (as a compound or molecule) by introducing a labeled atom
distinguish: mark as different

Other hypernyms of label include differentiate, secern, secernate, separate, severalise, severalize, tell, tell apart.

label (noun)	distinguish (noun)
an identifying or descriptive marker that is attached to an object
a brief description given for purposes of identification
trade name of a company that produces musical recordings
a radioactive isotope that is used in a compound in order to trace the mechanism of a chemical reaction

label (verb)	distinguish (verb)
distinguish (an element or atom) by using a radioactive isotope or an isotope of unusual mass for tracing through chemical reactions	mark as different
distinguish (as a compound or molecule) by introducing a labeled atom	identify as in botany or biology, for example
assign a label to; designate with a label	be a distinctive feature, attribute, or trait; sometimes in a very positive sense
pronounce judgment on	make conspicuous or noteworthy
attach a tag or label to	detect with the senses