cattleman vs puncher

cattleman and puncher both are nouns.

Word	Noun	Adjective	Verb	Adverb
cattleman	Yes	No	No	No
puncher	Yes	No	No	No

As nouns, puncher is a hypernym of cattleman; that is, puncher is a word with a broader meaning than cattleman:

cattleman: a male hired hand who tends cattle and performs other duties on horseback
puncher: a hired hand who tends cattle and performs other duties on horseback

Other hypernyms of cattleman include cowhand, cowherd, cowpoke, cowpuncher, adult male, man.

cattleman (noun)	puncher (noun)
a man who raises (or tends) cattle	a tool for making holes or indentations
a male hired hand who tends cattle and performs other duties on horseback	a hired hand who tends cattle and performs other duties on horseback
	someone who delivers punches