They are both ridden the same way, and if you are an educated rider - you should not ride any different from when you are in the Hunter Ring transferring to the Jumper.
I have to disagree. In the hunter ring you are expected to perch and pose. You are expected to be in half seat most of the course, you are expected to do a crest release. You focus on the making a pre-established striding. This is not how I ride jumpers.
If the horse has a smaller or bigger natural stride I'm not going to push for what is average in the line and risk a rail, I focus on a good approach and if we get that but nix the striding then I could care less. A rythmical canter for sure, but if you can go faster without your horse getting strung out then I don't see the issue. Especially if there is no jump off. I agree about the racing around, going fast and racing are two entirely different things in my book. When the horse is racing and strung out that is when accidents hAppen, but if your horse is going quickly with a rythmical stride and is on his haunches then I see no issue. You need speed to be competitive, especially at the lower levels and in the pony classes - those little buggers are fast! Turns and angled fences for sure, but at bigger shows you will be competing against horses that are able to, because they are on there haunches and at a rythem, go quickly and do pirrouette like turns and angle fences.
By all means go at a hunter pace if you cannot safely travel at a jumper one. It is about making a strategy that is safe for you and your horse, winning is second.
To the OP, your horse could do well at the low levels of either. Why don't you try them both out and see which one you both like better. I prefer the format of jumpers better than hunters, And my horses exell at that. Although any horse that is sound to jump can do the low levels of anything.