standard poodle vs poodle dog

standard poodle and poodle dog both are nouns.

Word	Noun	Adjective	Verb	Adverb
standard poodle	Yes	No	No	No
poodle dog	Yes	No	No	No

As nouns, poodle dog is a hypernym of standard poodle; that is, poodle dog is a word with a broader meaning than standard poodle:

standard poodle: a breed of medium-sized poodles
poodle dog: an intelligent dog with a heavy curly solid-colored coat that is usually clipped; an old breed sometimes trained as sporting dogs or as performing dogs

Other hypernyms of standard poodle include poodle.

standard poodle (noun)	poodle dog (noun)
a breed of medium-sized poodles	an intelligent dog with a heavy curly solid-colored coat that is usually clipped; an old breed sometimes trained as sporting dogs or as performing dogs