I'm clearly not as much as an expert as Captain, I'm an 'English' style rider and have only given western a go at a few times, but for what my two pennys are worth.... Western riding isn't particularly 'natural' IMO, but then if we are being honest with ourselves, nothing about riding horses is natural at all (if by natural we mean similar to what horses would do in the wild). But what modern competition western riding is, is very closely related to how real-life working farmers/cowboys use their horses for working cattle and other lifestock, a lay person can see far more easily how the tricks and skills they show like neck reining, sliding stops, pivots etc relate to practical real-life work, far more closely than say dressage which evolved from high-school cavalry riding but these days is hard for many to trace that link back and it can all just look a bit fiddly and silly.
In terms of training of the horses, as Captain says it's a different system to 'English' riding but fundamentally based off the same aids which are legs, reins, seat (riders use of their weight) and voice. Just like in English style, a well trained Western horse will respond to the subtlest of signals, be 'in tune' with their rider, know what is expected of them and will enjoy their work. I'm not aware of the voice being particularly more important in western riding than English, use of audible voice aids is penalised in competition dressage as its meant to look effortless and unless you are a ventriloquist it kind of spoils the illusion if you are yelling 'gerrrt on yer gert lazy lump' or 'wooooaah there' at intervals in your performance
. But all 'English' riders will use voice aids in some form, in the training of the young horse for instance or if you turn on Badminton XC or showjumping and they have a mic near the riders you will certainly hear them encouraging their horses using the voice and praising them when they do well.
As I say I haven't ridden quarter horses very often as they aren't common in Europe but when I have they are certainly lovely animals, you can very much tell they are bred to do a working farm job as they combine being able to sprint fast from a standing start and turn on a sixpence with the strength and endurance to cover a lot of miles at a steady pace, all alongside a calm and willing demeanour. But then again we have some lovely european breeds too, for pure speed the thoroughbred is undisputedly the best, for sports horse european warmbloods and for hardiness the northern european native pony breeds are king, so it depends what you are looking for really.
Western tack is also really comfortable (much more so than an English saddle) and it's easier for total beginners to pick up a western style as you don't have to rise/post to the trot and when you canter/lope you just sort of lean back in your comfy seat and let the horse swing you along so beginners in a Western school although they would probably start in an arena same as over here, can very quickly master the basics and get out of the arena onto hacks/trails. There's a school of thought (amongst English riders primarily
) that the Western style is less good for the horse's back and anatomy long term as there can be a tendency for the weight of the rider and saddle to be carried back towards the loins in western style and the rider doesn't do as much to carry/balance their own weight compared to how we are taught over here, but then again there are an awful lot of things that don't help the horse about how we tend to ride either, and to be honest I think a well balanced rider, not too heavy for their horse and the horse being fit enough and working correctly for its job (e.g, not being allowed to go along with a hollow back and upside down neck) is the most important thing regardless of style.
One question I'd have for Captain and others more familiar, why do Western riders not wear hats? I can understand for competition purposes, same as dressage, that its about the look, and the risk of falling from a very well trained competition horse is minimal. But your average rider heading out on a hack/trail ride, do they really just wear a cowboy hat and does this not result in nasty accidents? On the 'dude' ranches I've visited it def didn't seem to be the norm to have a helmet (and TBH it was very hot and sweaty wearing one in the southern summer heat!) and I could see how with the more secure saddle and convenient handle it's harder to fall but even so over here we are so fanatical about hats in all circumstances, including any time you are leading or handling horses and the message is so firmly drilled in that even with a reliable horse anything can happen that I was a bit
at all the people including the kids wandering around just in their stetsons!