Oh, boy. The debate's raging again. Still, I learn a little more every time this starts up.
As far as the OP's needs, I have to agree with the hydro crowd in this case. Loader work is much easier, on both tractor and operator, with hydro. I doubt Farmtrac is into PowerShift of HydroShuttle gear transmissions yet, so the 360 is probably dry clutch with (maybe) a synchronized throw between one of the forward ranges and the reverse range. That could work, but clutch longevity will depend on the operator.
One thing that's seldom mentioned in these debates is operator skill in using a clutch. These days, not everyone is well versed in efficient clutch operation. On gear tractors, this can make a big difference on how long the clutch/pressure plate/throwout bearing combination will last.
Even though I know that the clutch system will last the longest if I keep my foot off the clutch as much as possible (except when changing gears); it's easy and sometimes almost necessary to regulate the rate of forward progress with the clutch slippage when entering the pile with a loader. This puts wear on the clutch lining at a rapid rate. It takes a fair amount of discipline, when doing loader work with gears, to keep the foot off the clutch 'til the last instant and regulate speed with the foot throttle.
In addition, riding around with the foot on the clutch pedal keeps the throwout bearing spinning leading to its premature failure. Once the throwout bearing starts to go, the pressure plate release fingers bear the brunt of the abuse. It's surprising how many people operate gear (or stick shift) vehicles keeping their foot on the clutch. That being the case, if you have hired help (or Mom or the kids) operating your machinery, you're probably better off with hydro even if you are deft with a clutch.
FWIW
Bob