I’ve seen in some cases that an obviously non-captive animal, such as a Domestic Budgerigar, is labelled as ‘Captive/Cultivated’.
Although we do have the observation field ‘Escapee/Non-established’, not everyone knows how to implement that onto their observation.
iNaturalist currently has “N” for native, ‘E’ for endemic, and ‘I’ for invasive. An ‘EP’ for ‘Escaped Pet’ would be handy.
The label would be meant for non-established animals in a region, rather than have it automatically show up, it could be an option when uploading the observation, next to the ‘captive/cultivated’. Though it would be an escaped pet, it would stay research grade.