That's great info to know...
I'm pretty sure that I'll load my rear tires, which should add about 125 lbs or so, though not out as far from the fulcrum as your weight hanging off the back hitch. I have wheel weights that I can bolt on temporarily, to see what the result would be, before I load the tires with WW fluid. That's the experiment I have in mind, since wheel weights function much like loading the tires -- they're just a pain if you want to remove the wheel to clean off the wheel motors, for example... so, they'd be temporary.
Like you, I just can't see where another 100 - 150 lbs on the back will have that big of an impact on the reliability of the tractor's pivot pin or steering. Every garden tractor I have has the rear tires loaded, and I hang an additional counterweight on the rear when using heavy front attachments like a 42" snowblower.
I want to be able to safely lift the max weight the tractor's hydraulics can handle, on level ground, since I'll have to lift lower amounts in my woods because of the pucker factor caused by the slopes. There's a few spots, like down by the lake, where I must work facing downhill if I work at all -- much like you've described working in/near the creek. I don't want the rear end lifting on a slope, just because there's more hydraulic power than there is weight to hold it down...