Wildlife Spotting

You can't tell, but any offspring would be feral. So no matter what these will still be considered Domesticated because they are not true wild species. Like Domestic Geese and Canada Geese. Domestic Geese will always be called Domestic Geese no matter how long then been free. Canada Geese are true wild Geese.

Well, sure, but at what point does a feral population become distinct from the domestic population? Canis dingo, for example.

That's called Feral.

P.S. I know you said "not wild", but I meant "not in captivity"

Was this wild? I saw one very similar to it a few months ago (http://www.projectnoah.org/spottings/2035526002) I thought maybe a pet rabbit escaped, but maybe there's an established population of escaped pet rabbits?

This is not a wild rabbit. Mostly likely a pet that got loose or a farm rabbit runaway.