sporting house vs house of prostitution

sporting house and house of prostitution both are nouns.

Word	Noun	Adjective	Verb	Adverb
sporting house	Yes	No	No	No
house of prostitution	Yes	No	No	No

As nouns, sporting house and house of prostitution are synonyms defined as:

sporting house and house of prostitution: a building where prostitutes are available

Other synonyms of sporting house include bagnio, bawdyhouse, bordello, brothel, cathouse, house of ill repute, whorehouse.

sporting house (noun)	house of prostitution (noun)
a building where prostitutes are available	a building where prostitutes are available