I see your point Old Woman, and am certainly not saying cyclists are in any way inferror to horse riders, or that horse riders are a "special" case, but they are different and have different needs.
I've yet to see a bike spook in to the road, or decide to take off with its rider
Of course we are different - but not
very different - and we vulnerable road users have little enough power as it is; united we would have a much greater chance of getting the powers-that-be to do something constructive to shut us up/for road safety than we have when we have so very little representation. If only walkers, cyclists and riders could get together, work together and tolerate each other, appreciating each others' specific problems and wondering how we can HELP each other instead of fighting and arguing the toss between ourselves!
At the moment, cyclists are up in arms about a certain coroner's call for bikes to be segregated on all A and B roads. Someone pointed out that this would effectively remove the freedom of movement - already restricted in practice by the dangers of fast and heavy traffic - which is enshrined in law in the UK, where pedestrians, cyclists, and horses - driven, ridden or led - having an absolute right to use all of the public highway system.
If bikes were to be segregated by law on all such roads, what would happen to walkers and horses?
This segregation is not going to happen in practice, but the mere fact that someone in a position of influence thinks the solution to the problem of keeping vulnerable road users safe is to prevent them from using the roads is a dangerous precedent. The danger that exists to vulnerable users comes from inconsiderate, careless and incompetent drivers, and highway design (particularly at junctions, crossings and bridges/tunnels) that takes no account of the needs of road users other than those who chose to drive mechanically-propelled vehicles with four or more wheels. Calling for segregation IMO only leads to even more drivers believing that other users are 'intruders' into their private domain, and to even less consideration for vulnerable users by the designers of new roads, bypasses and junctions.
I must point out, too, that although bikes don't spook in the road, or decide to take off with their rider, neither are they anything like as visible to other road users as is a horse, the bike rider does not have as good a viewpoint as the horse rider, and nor are they as 'steady' when there is a sidewind or a small pothole as are most horses - horse and bike each have their advantages and disadvantages when ridden on the road!