We have a problem. Define "stronger".
Basically the manual transmission is used to transmit horsepower, and the hydro is used to transmit torque. There is a distinction between them. Torque gets the load moving, horsepower keeps the load in motion once it is moving, and the larger hydros can deliver a LOT of torque.
A visitor next door saw my little MF12H/FEL parked in front of my 18' travel trailer (3600 lb) and stated "You're not going to pull that trailer with that little tractor!", or words to that effect. (My memory is just a bit fuzzy on the exact wording. It
was about 35 years ago.)
Challenge accepted!
Engine at idle, hooked up the trailer to the ball on the GT, bashed the drive control full forward (hand control), then immediately did the same for the throttle. The engine stumbled momentarily as it took a full gulp of air under max load before the fuel mix could stabilize. Once the governor got its act together for the rapid change of power demand, it then settled down to accelerate the load to about 8 mph in about 20'.
Try that with a MF12G with the manual transmission, and the engine will stall when the clutch is dumped if it's in a gear high enough for a travel speed of 8 mph, or if it's in a gear low enough for the engine not to stall, it will only make 2 or, maybe, 3 mph.
That's the torque side of the equation. On the horsepower side, with the same load
once moving on a long grade, the manual transmission will get to the top of the hill sooner, or won't work as hard getting there, because there is some loss of horsepower with the hydro due to normal internal leakage of hydraulic fluid under pressure. The engine has to pump that fluid whether it is doing actual work or just leaking normally, and that leakage uses about 20% of the horsepower applied to the transmission.
There's more to it, but we will assume that the slope is such that the manual transmission can handle the load and slope in high gear at WOT.
Note that the only tasks that will demand maximum sustained performance from a transmission are ground engagement (ploughing, discing etc,) or slope climbing. The majority of tasks will only require a relatively small percentage of the maximum performance with, possibly, a few
moments of max performance thrown in for good measure.
The MF12G and H are well suited to a direct comparison of transmission performance characteristics. They both use the same final drive (reduction gears and differential), the G with a set of manual gears in front of it, and the H with a hydro, and both have an HH120045B Tecumseh 12 hp engine.
I also subscribe to the KISS theory, but sometimes it simply can't be applied because of varying conditions. In this case, the
type of work determines which is stronger.
Note that the OP's original question referred to a comparison of the
durability (strength of shafts, rotating parts, and case) of the two types of transmission, not to the performance. The answer to that was given earlier . . . they're about equal when used for the tasks for which they were intended and designed.