My L35 has the 8x8 GST - to correct an earlier post, this model is all manual/hydraulic, no electrical at all. The later 12x8 has some electrical, I think.
You may be aware, but there are 3 sections in the tranny: gears 1 - 4, hi-low range, and for-rev with a hydraulic clutch between two of the sections (not at the main input, the foot clutch is in the usual place). All the gears are synchronized. The 1-8 gearshift lever by the seat selects 1L to 4H via hydraulics and the for-n-rev lever on the steering column is mechanically connected to the shuttle while hydraulically controlling the clutch.
I like the setup, but nothing's perfect.
1. Your feet can stay on the floor, but I find my left hand and arm stay busy shifting from the shifter to shuttle. Which means it's not available to steer, and I use the foot throttle a lot since my right hand has to leave the steering wheel to reach the throttle by the right side of the seat (good location when turned around on the backhoe, but not so good for forward facing).
2. When shuttling, unlike HST, you're not 'downshifting' to slow down. You can either move your hand to the shifter and downshift, then shuttle; coast down in neutral; or use the brakes to slow down in neutral before finishing the shuttle shift. If you're in 4F and shuttle, you'll be in 4R as fast as the hydraulic clutch allows. This works well as long as you use the throttle to ease things. You can also do it any gear, but I'd hate to experience a 6th gear full throttle shuttle

.
3. Whereas the HST has smooth, continuous power ratio change, the GST has finite ratios and when you shift from one to another there is a noticeable delay. This can be very 'noticeable' if you start up a hill in too high a gear and need to downshift. Under some situations you need to be ready with the brakes to keep from rolling back while the shift is happening (like you would with a manual gear set-up).
The newer GSTs may have different driving traits.
BTW most, if not all, HSTs have 2 or 3 range gearboxes. These are usually not synchronized, so you have to stop to change ranges.