on the loose vs escaped

on the loose and escaped both are adjectives.

Word	Noun	Adjective	Verb	Adverb
on the loose	No	Yes	No	No
escaped	No	Yes	No	No

As adjectives, on the loose and escaped are synonyms defined as:

Other synonyms of on the loose include at large, loose.

on the loose (adjective)	escaped (adjective)
having escaped, especially from confinement	having escaped, especially from confinement