The answer is in the original post you quoted. Significantly different tyres will have significantly different characteristics. eg. a mud terrain will perform very differently to an AT tyre, particularly in the wet where the large tread blocks of the mud terrain lack the multiple sipes and grooves to clear water that you will find on other tyres (such as ATs). So as stated above, the limits of grip for one type may be quite different to another, leading to understeer or oversteer.
For example, mud tyres on the back and ATs on the front and cornering hard in the wet - the ATs may have enough grip to steer you around the corner with no loss of traction, but the MTs may loose grip (especially on an unloaded pickup with a light back end), resulting in significant oversteer! Under these circumstances (and under braking) it's really hard to control oversteer and tends to "snap" on you and the next you know, you're backwards into a hedge (or oncoming HGV!). Very different from a touch of oversteer in a rear wheel drive car when accelerating, which you can control by balancing power and steering (which I'm sure we've all had fun doing across a muddy field

)