hotel detective vs house detective

hotel detective and house detective both are nouns.

Word	Noun	Adjective	Verb	Adverb
hotel detective	Yes	No	No	No
house detective	Yes	No	No	No

As nouns, hotel detective and house detective are synonyms defined as:

hotel detective and house detective: a private detective employed by a hotel or retail store

Other synonyms of hotel detective include house dick.

hotel detective (noun)	house detective (noun)
a private detective employed by a hotel or retail store	a private detective employed by a hotel or retail store