Maybe I got confused too - both about the colour and the toothed belt - I know for certain that I've had arguments with Dyson customer services because they assured me that I wouldn't be able to repair my GREY AND PURPLE (THEN!) Brush Control upright. It was so long ago really - we're talking a VERY long time.
VR - our local serviceman in our small little Scottish town is useless - they dont even have the tools you speak of - so any Dyson owner in the town has to send their vacuum away to get fixed. We had a great Hoover engineer for many years but the cost of vacuums at the supermarket effectively got rid of his business - admittedly some of the machines he sold were higher priced than anything else - but his repairs were 100% excellent. Once he went belly up, and I didn't take an interest in collecting vacuums until late on in my life, my family had already decided to go with Sebo for the fact that very little repair is required.