No it's an upholstery brush. Will try and get a better PIC of it. The upholstery tool is black, rather than the dyson style that came with the cleaner.
But surely dyson even in those days wouldn't have put a random tool with the DC for a picture, hence my thought that maybe very early dc01s had a different toolkit.
Might have to troll dysons Facebook page and ask them. Doubt they will know either though