The key is no-skid....so ABS = Shorter Distances
Without skid, you are not losing contact with the road with the wheels that do the steering. This is most important during breaking, as if you DO lock up the wheels that steer, you inevitably begin to float off axis and then you are going sideways.
To regain control you must....release the breaks and steer in the direction you want to head until tire rotation matches ground speed and you gain traction again. If just for a split second. That is long enough to lose any advantage VS. ABS.
The vast majortiy of commercial vehicles have brake systems that demonstrate fade (which varys with temperatures and usage), use brake lines which expand and contract in varying degrees, and usually everyday cars are a little out of alignment after one or two serious pothole hits.
All these variables add up to make it impossible for even the most experienced driver to anticipate slippage direction and duration during a stop..two or three pebbles in the road can make you lose grip, but which tire first? Thus ABS almost ALWAYS breaks better.
Now put a very experienced driver in CONTROLLED SITUATIONS like a clean racetrack, sticky and warm freshly balanced and evenly inflated tires, Precision Brembo coss-drilled rotors and racing pads, and experience with that car...then in a straight stop he can take it to the brink of slippage without hitting a slide....that car could stop faster than an ABS equipped car.
But if he had to brake hard during a turn, he'd probably lose it before the ABS car would.
my 2 pennies