I think he's lovely! For an English riding horse he's about average speed!
You're a western rider no?
The horse is being run onto his front legs, encouraged to hang onto the bit and as a result he HAS to have a very fast tempo to stay upright! This horse is travelling at a much faster tempo than a horse that is in balance, off the forehand and with the rider should be travelling.
Horsemadgirl, I suggest you watch a few professional dressage riders working their horses to compare the different between their tempo, and this horse's tempo.
Brackenbramley, yes I agree with you that the rider IS rushing the horse, but it seems to have turned into a viscious circle. The rider initially would have knocked the horse off balance and as a result he has to up his tempo to keep himself upright. The rider is in a very defensive position, and is gripping with her knees and hands, thus has no influence over the horse with her seat and as a result the horse will no come back to a more suitable tempo while this continues. Once a horse has been ridden like this for a long period of time, particualrly at a young age, it is very difficult to retrain. At 7, the horse should be moving freely forward, into a soft contact, poll at the highest point, and commencing collected work.
This horse is a long way behind the 8-ball.
I was riding a warmblood x tb mare that had been ridden in this manner as a young horse, at 12 she was STILL reverting to running onto the forehand and pulling through the bridle when she got tense. Though a very lovely mare, she was very difficult as if you let her go for even 2 strides, she would be on the forehand and pulling you along like she was pulling a cart.
For a first horse, why start with something like that when you can pick something that has decent foundations or at least doesn't run itself into the ground.
As for price - that's why I bought a yearling rather than something established. You can get a horse of the quality you want, for a fraction of the price, but just have to be patient to be able to ride it. Not recomending a youngster for the OP though, but I do feel that if the OP really DOES have enough riding experience, maybe a 4 year old would be more suitable? Nothing too flashy, you don't need spectacular paces to ride high levels, in fact, 3 'good' paces to me is more desirable than spectacular as you have to be able to ride them!