Must be very small indeed, as I've never met one. Nor one who thinks that owners of classic cars shouldn't be allowed on the road.
Which makes it very strange indeed that so many still believe it to be the case w.r.t cyclists
Precisely. "Road Tax" confers ownership so cyclists are seen as intruders by quite a large number of people, see newspaper comments, speak to work colleagues or letters in the press.
Take Mr Angry Pink Shirt upthread,
I don't imagine he screeches to a halt and screams "You don't pay road tax!" at the 300,000+ other road users exempt from VED, like classic cars, cars belonging to the disabled, steam engines, mowers, electric vehicles, Fiat 500, Peugeot 207, ambulances, fire engines and Her Majesty The Queen? Or maybe he does.