One advantage of a hydro I haven't seen mentioned is the ability for precision and creeping up on things smoothly. Great for precision loader work and maneuvering. No power shuttle I've operated comes close to being able to do that.
Maybe my old man harped on me too much back in the day running geared tractors, but it never feels good to slip or ride a clutch to facilitate smoothness and small movements.
I regularly no a Deere 5075E with a power shuttle and we own a NH 4050 with the same. Not a big fan of doing loader work with either, especially if it's something that involves the pallet forks. They're a huge improvement over the geared tractors of yesterday, but once you've become accustomed to something like a HST SCUT/CUT, skidsteer, front-end loader, or even a modern backhoe, they're a pretty blunt instrument.