Uh no . . . it's because, all things being
equal, an AWD car on the same tires as a RWD car IS better on slippery surfaces, regardless of whether the driver is stupid or smart. And an AWD car on snow tires is better than a RWD car on snow tires. The comparison of RWD on snows vs. AWDs on UHP tires was simply illogical. It is rather obvious that you can do all kinds of things to ANY car to improve it's capability, whether it's about speed or traction.
Obviously, neither can defy the laws of physics, and AWD vs. RWD has nothing to do with braking. Sorry about your Jeep accident . . . I'm sure it had nothing to do with anti-lock brakes vs. not, or speed differentials, or driver inattention, or anything like that.