My best understanding of wild vs. captive/cultivated. The criterion is whether the organism is there because it got itself there or if humans put it there on purpose.
Tree that people planted: cultivated, for its whole life. Yes, even after 100 years.
Tree that people did NOT plant, even if a housing development has grown up around it and it is now surrounded by a mowed lawn or by concrete: wild (though we identifiers may not be able to tell; be sure to comment as you post it.)
Weeds grown from seeds tracked in on your boots: wild
Restoration site: First generation (planted) is cultivated. Plants that grow up from their seeds, or even from spreading rhizomes are wild. What if you can’t tell which are which? (Heh, heh, heh – a work-around!) I mark them wild at that point.
Now for cats out in the world, I think we need to consider other animal examples and see what the cats most resemble.
Birds and squirrels at my bird feeder: wild
Wapiti or deer at a winter feeding station where they’re eating hay put out for them: wild
Fish that’s been caught and is photo’d that day where it was caught: wild
Fish put in a small pond they can’t escape: first generation captive. If they reproduce, offspring maybe wild, maybe captive (e.g. trout farms) depending on people’s intentions. A tough case.
Fish released into a river, to swim out to sea and maybe come back: wild after release.
Dead, pinned insect in a collection, posted with the date and location where it was caught: wild
Dead, pinned insect in a collection, posted with the date and place where the collection is now, long after & away from the point of capture: captive
Cattle in a fenced pasture: captive
Cattle on open range, put there by ranchers, to be rounded up later in the year: captive though they may not look like that.
Pet bird in a cage: captive, even if it’s a “wild” species
Pet bird that has escaped and is flying free: wild, even though it’s a species not normally found wild there
Pet turtle released in a lake, not forming an established population (as far as you know): wild
Wild bird in a rehabilitation program: wild before it was captured, wild when held by a person at the place and date when it was captured, captive while in rehabilitation, captive in a cage just before release, wild after release.
So what are wandering cats? Here’s my opinion.
Feral cats coming to a feeding station: wild (like birds at feeder)
Feral cats that were been vaccinated and spayed or neutered and released and are now coming to a feeding station: wild (parallel to rehabilitated wild birds)
Barn cats: wild (parallel to wild birds coming to a feeder, or sometimes more to rehab birds since sometimes people do release cats to be barn cats)
Pet cat that escapes and is later recaptured: wild while it’s free, captive otherwise, though an edge case
Difficult case: pet cats that live at home and are allowed to go outside regularly. Are they more like cattle on the open range (captive) or like feral cats that got an episode of care, were released, and now are still being fed (wild)? Some of these wandering cats are quite definitely where they are not wanted ( https://www.inaturalist.org/observations/310372525 ). Mostly, I can’t tell if a particular cat has a house to live in. Absence of a collar tells me nothing about that and even presence of a collar doesn’t, since the cat could have escaped long ago. I mark them wild. I can understand marking them captive.