I think the nature of what you call it, has more to do with what you are doing than how you attach luggage to your bike.
If you are out locally, using a mix of roads and off road, sleeping in woods with no tent. Just a sleeping bag and plastic sheet for cover. Maybe only away for one or two nights. Does that qualify as tour or does bike packing more accurately capture the sense of it?
For me I think the origins of bike packing come from people taking bikes where traditionally you would be on foot and back packing. Maybe you have taken your bike down a green road or land rover or old mining track.
If you are heading up the Hebridean Way, spending a few days doing it. Then you are touring. If you are doing it in a day, then you likely racing it. If you are sleeping in audax hotels, you are on an audax. The luggage setup does not make the distinction. It is how you are tackling it.
But as above, as long as it means people are getting out on their bike on longer outings, who cares what they call it? That is, if they want to put a label on it.
Sometimes it is best not to label something, and just get on with whatever “it” is.