horse wrangler vs cowpuncher

horse wrangler and cowpuncher both are nouns.

Word	Noun	Adjective	Verb	Adverb
horse wrangler	Yes	No	No	No
cowpuncher	Yes	No	No	No

As nouns, cowpuncher is a hypernym of horse wrangler; that is, cowpuncher is a word with a broader meaning than horse wrangler:

horse wrangler: a cowboy who takes care of the saddle horses
cowpuncher: a hired hand who tends cattle and performs other duties on horseback

Other hypernyms of horse wrangler include cowhand, cowherd, cowpoke, puncher.

horse wrangler (noun)	cowpuncher (noun)
a cowboy who takes care of the saddle horses	a hired hand who tends cattle and performs other duties on horseback