This is such a human question.
I think to come some way to answering this question we need to go someway to thinking like a horse.
I am assuming with these thoughts that the horse in question is well, healthy, has not been badly mistreated and the environment in which he is kept is as close to his natural state as is possible to achieve.
My conclusion to the question is that some horses do not, some horses accept and some horses do enjoy been ridden.
Horses are an accepting animal; a horse accepts it’s place in the herd, it is neither a happy nor unhappy state of mind whether the horse is high, low or in the middle. The horse is happy however once it’s place is established and it is safe in the knowledge of where that space is.
The question of riding then is not to the horse about being ridden, the state of mind of the horse is about everything else and the riding is or is not included within this.
A horse is a teacher and a reflection. She shows us where we are on the path and the path that leads us to balance within ourselves. To the horse what they show us is perfectly obvious and I am sure that they look upon us patiently at how slow we are on the uptake.We are blind to the paths they show us when it is right in front of our noses and often fail to recognize what they show us in the moment.
By us showing dominance, they show us fear and if enough threat is given, submission. This is of course the obvious mirror of the bully.
In the other extreme we can say no horse likes to be ridden, it enslaves them and I would not like it done to me so I know they do not like it. But is that not also imposing our (human) will upon the horse, assuming that we know and speaking yet again for them?
The horse concerns himself with the journey, and the journey is about finding your connection to the heart and to your true self. The horse generally is happy to help us with this journey and is particularly good at this being a patient and attentive teacher.
Showing the way is their gift to us and if it is done through riding they are happy to do so. Provided it is done in with the heart connection and an allowing mind of the (human) pupil. Allowing to be shown, open to feedback and to different opinions and ideas from their teacher.
Consider the pupil and a teacher, would that teacher enjoy teaching if the pupil was domineering or frightening? How would that teacher feel if the pupil said “I know you like teaching but do not teach me to read/spelling/maths whatever, as I know you do not like to teach me that.”
Best to ask the (individual) horse before we make assumptions either way.
If you listen and take the time to be in their company they will let you know. The signs are there we just need to tune into them and be open and aware. Look to yourself; how do you feel when you are riding? do you feel light, connected, relaxed, happiness, calm, love? Or do you feel helpless, tense, frustrated, angry, feel sorry for yourself, frightened or cross? Chances are it’s a mixture, some days are better than others. But let your feelings be your guide they are the flags that tell you how your horse is feeling and whether your horse is enjoying your company and if she wants to be ridden at that moment. They are showing you, you. Listen.
Take note of the answer, sometimes it can be a difficult answer for us to take, no or no not now can be hard and sometimes the answer can bring some disappointment, but do not fall into the trap of feeling sorry for yourself, self pity is a selfish, small state and your horse will not be feeling light and will not respond positively to that. I believe that horses do not ,unlike humans feel empathy for that emotion, it can worry them and makes them feel unsafe.
My conclusion is: Some horses enjoy showing us the way, if we are diligent and attentive pupils. Some horses want to show us the way but do not find it much fun for them.( pay more attention to what they are saying). Some horse do not want to show us the the path at all because we need to see ourselves as we are right now.