CO2 liquifies at moderate pressures at room temperature. Your 12 gram capsule is largely liquid. That means the gas above it will be at a constant pressure for given pressure.
This gives more shots at a consistent and moderate pressure than you can get with air. No pressure curve.
Or that's what I understood. The downside is greater temperature sensitivity, the pressures attainable are not terribly high (and cannot be increased unless you raise the temprature), and I believe the seals are harder to make, as CO2 diffused into many seal materials.