There’s a lot of misinformation being tossed around carelessly on this thread. Let’s start with facts.
Mass increases with the cube of height, while surface area increases with the square of height. Since power, resulting from muscle size, is proportional to mass, while wind resistance is proportional to surface area, it follows that, other things being equal (i.e., similar body proportions), larger riders tend to be better TTers than smaller ones. Their mass and power increases by the cube, while the air resistance that’s the primary force a TTer has to overcome increases by the square. This is just physics.
What about climbing? Here the key ratio is not power/surface area, but power to weight, since most of the work done in climbing, assuming a fairly steep slope, is expended to overcome gravity. Do smaller riders have a power/weight advantage? No. Since power increases with mass, and weight increases with (is) mass, other things being equal, there is no size advantage.
So why does the conventional wisdom say that smaller riders tend to be better climbers? It has to be based on physiology, not physics, and goes back to surface area. Smaller riders have a larger ratio of surface area/mass than larger riders, and while this is a disadvantage in flat riding, it provides potential advantages in climbing.
First, the larger surface area means more efficient heat loss. While riders can become overheated in any kind of terrain, in climbing, where the pace is slower, movement has less of a cooling effect. Riders tend to heat up, particularly, obviously, on very hot days. But smaller riders will heat up more slowly, and require less energy to cool down.
But surface area isn’t just external, it’s also internal. Interior surfaces play a key role in power production, from bringing oxygen into the lungs to transporting it to the muscles. At every step, larger surface/mass ratio means more efficient energy production and utilization. Smaller riders, smaller athletes in general, should—again, other things being equal—have greater values of parameters like V02 max (per kg) and efficiency. Greater surface area/mass should also enhance recovery, because again, surfaces are critical in transporting needed molecules to the muscles, as well as removing waste products.
In fact, this greater efficiency should come into play in any type of racing, including time trials. Having a higher V02max is obviously an advantage there, too. It’s just that in this case, the effect of wind resistance is generally much greater. In climbing, where wind resistance is greatly reduced, the advantages of surface area should predominate.
Obviously, no two athletes are exactly alike in body shape and proportion, so there will be all kinds of exceptions and qualifications. But being smaller should predispose riders to being better climbers. The notion that larger, heavier riders have an advantage in climbing over smaller ones is not supported by any science I’m aware of.