What you talk about is fluid control. From what I’ve seen on my brand is an input shaft connected to the crank with gearing. If the engine is turning, so is the input shaft. If it is not, the gearing is either stripped, bearing compromised or attachment failed. The control, speed and direction of the tractor is happening after that with valve/fluid regulation.
Some even use that pedal as a brake mechanism as to disrupt fluid volume to relieve pressure. It is what makes range changes easier and also controls live ptos.
Are you the seeing the swash plate? I’ve heard that referred to as a clutch.
Why would an hst need fingers, pressure plate and clutch disc as a drive if it’s relying on regulated pressured fluid delivery to move?