They don't make CVT dozers though.
As said, the power split hydrostatic CVT is an ordinary HST coupled to a planetary gear (aka differential) alongside a mechanical power branch with two (Fendt, and MF through Agco) three (new Holland) or four (ZF Steyr) ranges.
Hydrostatic transmissions work great at low speed high pressure. At road speed, they operate with high oil flow which results in high resistance, and low pressure.
The hydrostatic power split CVT works opposite: to lower the output speed, the hydraulic input speed must be increased (imagine your car with only the left wheel touching the ground and the right wheel lifted off the ground, attached to a hydraulic motor: when the car is in gear, the differential Cage would be spinning. With only the right wheel touching the ground, the left wheel would be spinning in thin air at double the differential cage speed. Now if we could slowly reduce the speed of this left wheel, the car would slowly drive away, faster if the hydrostat powering the left wheel was slowed. When the hydrostatic motor is powering the left wheel in reverse, it would speed the car even faster than the mechanical input (differential Cage speed)
Anyways, the functioning of the power split hydrostatic CVT, and the peak efficiency of HST explained, you can understand that the CVT isnt effici?t at low drive speeds because a high hydrostatic speed is required to transform a moderate mechanical input speed to a low output speed.
So, the HST is effici?t at low speeds and big torque, which makes it great for dozers. It is ineffici?t for high speeds which makes it ineffective for semi-transport vehicles and useless for on-road tractors.
The CVT however, works opposite so it has a high hydraulic loss at low speeds. It therefor is a bad choice for dozers.
For loaders that both need high torque to penetrate the pile, and effici?t at higher speeds at load and carry applications, a German independent manufacturer has made a transmission that drives purely hydrostatic at low speeds pushing into the pile, speeds up the hydrostat and at a given speed, it engages the mechanical branch with a clutch, after which point the hydrostatic part is slowed down again to increase the transmissions output speed.