I constantly see threads regarding those struggling with traction issues whether it be in snow or steep slopes. I have had a few garden tractors and the small ones truly struggled with the slopes I have. After tipping one over and another twice I decided life is more precious than that and went to large ones with 4WD and have never come close since then many years ago. BTW, the "whirling blades of death" do not stop instantly while you are turning over no matter what kind of seat switch there is.
Often many think the issue is going UP slopes when a more serious condition is going DOWN slopes as when it get very dry or wet a conventional rear end will skid one wheel and free wheel the other. At that point you had better point the nose in direction gravity is taking you and hold on for the out of control ride. Granted this is a thrill but a fairly hazardous one at that.
The mechanical front wheel drive, MFWD work excellent but will tear up grass when turning short while going downhill with the outside tire. I have just discovered that the hydro 4WD of the 7xx series is just 2nd to none. Both will easily back up the steepest slopes without spinning a tire.
The whole point of this is to emphasize the inherent risk of small machines on steep slopes.