That's wrong. Wildcamper is someone who camps in the hills, wild if you like. A bushcrafter is someone who practises a wide variety of skills related to the outdoors from wilderness survival through to sitting in a woodland campsite whittling wood. A backpacker is a person who walks between camps or hostels or hotels.
What you describe could be pretty much any of the two you mentions. A bushcrafter also walks between overnight camps. A bushcrafter can easily be a wildcamper, a backpacker or all three. I don't think they are mutually exclusive.
I myself am a wildcamping backpacker. That is someone who camps in the wilds (or the hils of Britain as they are not true wilderness) and carries his stuff with him between camps, hence the backpacker title.
I use a tarp and have been known to light a fire so I guess that makes me an occasional bushcrafter too.
I do wonder why the need to pidgeonhole people into activities. It is kind of like what I understand USA radio is like. They have each station playing a heavily categorised music and also have charts for each. Personally I am what I am and if you had to put a name to it I am a wildcamping backpacker with occasional bushcraft activities. I do think your definitions are wrong though you describe a backpacker with the walking between camps not a wildcamper who can actually drive up to somewhere (or ride their bike) and camp, staying there for a while. Only the backpacker moves on each day (apart from rest days I suppose).
I am both,I can spend a week outdoors with only what I carry in my backpacking pack and I can spend a week outdoors just using a knife and a cup. There is a massive overlap between all the outdoor pastimes.As a cyclist I often carry a stove for making a brew does this mean I'm a backpacker on a bike?
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