In Stadium and Sho jumping alike, your canter has to be bouncy and more rocked back on the haunches, so your horse has alot of bounce to get over the rails to clear the jumps without knocking a pole. In Show jumping you would try to go faster than eventers would in stadium.
Stadium and Show Jumping - are the same exact thing. Regardles if you are at a Hunter/Jumper show, or at a Horse Trial.
In a Jump Off, I can see going "faster" but in an average round, it is about Rhythm, control, balance.
Out on the CC you are going alot faster than either stadium or show jumping, and you arn't woried about keeping a nice bouncy canter, just getting over the jumps and going fast to beat the time.
I highly disagree with you here, and if this is what your coach is teaching you, find a new one.
You NEVER ride the clock out on CC, that is a fast way to trouble and danger. You ALWAYS ride your horses Rhythm. Just like in Stadium.
Yes, one would Hand Gallop between fences, because we want to lighten the load for our horses over those distances - but when you approach a CC fence, you damn well better be rhythmic, under conrol, your horse light and responsive to remain under you - and you ride that CC fence totally differntly than you would a Stadium Fence.
You might colect going towards a Teckehaner or sunken road
You're speaking of a Coffin Canter.
When I say you cannot ride a Stadium Fence the same way you would a CC fence - is I mean by form.
Those fences out on that CC fence should never be under estimated - NEVER - whether you are doing a GAG fence or a Prelim Fence. Regardless - the rider should remain solid, deep, tall, lifting their horse up into their aids - never flat.
You NEVER ride the clock, and if your coach is teaching you that - find a new one.
This is a sport to be respected - period.
Also, regardless if you are in stadium or out on the cc course - you always approach a fence in a rhythmic tempo, strait, rounded, light, responsive.
The riders form - differs.