You know all their supposition is just that, the description of "hunting" according to Webster:
hunt: "to chase or search for(game or other wild animals) for the purpose of catching or killing."
hunter: "a person who hunts game or other wild animals."
hunting:"the act of a person or thing that hunts."
Therefore anyone who steps into the woods or a field for the expressed purpose of killing wild animals is hunting. There is nothing in the definitions about distance! No bias of feelings, ability or the lack thereof.