No, there is absolutely nothing in common between the Ford S-O-S and any hydrostat.
The S-O-S is an automotive type design with planetary gearsets and bands to create the ratios but with a manually controlled valve body replacing the hydraulic valve body universally used by all automotive manufacturers until recently.
A hydrostatic transmission is an engine driven hydraulic pump driving a hydraulic motor connected to the tractor drive axle. There is no mechanical connection between engine and drive axle. Pump, motor, or both can be variable displacement and reversible.
Yes, hydrostatic transmissions whine because both engine and pump are operating at relatively high RPM whether the motor is operating F/W or not.
I've heard folks call hydrostats noisy but never jerky. I have heard folks call the Ford S-O-S jerky.
For what you want to do, I cannot imagine a better set up than the Kubota L6060. Yes it is inexpensive and thirsty.
My 6060 does not sound like a tractor but rather like a ZT mower. The engine operates at a nearly constant RPM while the hydrostat transmission controls ground speed. The deluxe 6060 has selectable features such as auto throttle advance (automatic throttle advance when pushing on the hydro pedal), stall guard (computer slows ground speed when conditions sense engine overload) and auto HDS (the 6060 has a hydraulic H/L similar to a power shift but accomplished by changing the angle of the swash plate in the pump, motor or both) auto HDS allows the computer to control this hydraulic H/L. I have found that the stall guard and auto HDS fight each other in certain conditions. Kubota should have done a better job designing the software controlling these features, and I expect that revisions will be forth coming.
Sounds like you want a 50 HP tractor with a gear drive transmission, independent PTO and power shift. So do I, but I found that such machines are not currently offered. I found the Kubota L6060 to be the best model for my purposes. JD makes a similar hydrostat model but I found my nearest JD dealer to be unknowledgeable, while at the same time, arrogant.
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