As opposed to NOT stopping! Once a wheel locks up, nearly all traction/stopping power is lost from that tire. Boy, there are some stupid allegations beng made in this thread.
IF you do not brake hard enough to lock up a tire, absolutely nothing is any different than not having anti-lock. If one does lock up a tire, the brake quickly releases to let the tire start turning again and then braking is reapplied (wthin milliseconds), adding back the lost traction from the lockup. The actiion repeats until the car either stops or the brake pedal is released. So rather than a locked up, low-traction tire/s, you have the added traction replaced and one of the by products of that is by not being locked up momentarily, some semblence of steering ability is returned if it's a front tire, less if it's a back tire. Usually the back tires will lock up first, because in a hard stop, the vehicle's weight is thrown forward, with mass placing more weight on the front tires while the back tires tend to lift, losing traction compared to the front tires.
One thing about the court system anywhere: Regardless of who's really right or wrong, if it's a law, it's a law; there's very seldom any way around it but to prove there were extenuating circumstances that skews the law so it can't be directly applied. But often there's another that can, depending on the type of court.
Neither did my Gram; but then again, she never drove a car or even had a license.
You appear to be anti-brained, in the context of your usage IMO. I never had any trouble in winter driving either because I learned to drive on ice & snow early & knew how to pump the brakes and recover direction of travel if I needed it. And I knew what speeds hills & curves could be negotiated. Fortunately I knew how to drive and how to perform on ice & snow as a result. But that does NOT mean in any way that anti-lock brakes didn't improve the situatons considerably. However, the appearance of ant-lock brakes has always been "fun" to have for me. And it certainly stops me a LOT faster than any physical pedal-pumping can do on ice, is never noticeable on clean, dry roads, and a superb addition to any vehicle that can use anti-lock brakes. No way is the pedal-return/rest to braking manually going to outperform the incredibly fast pumping anti-lock brakes can provide. Anyone that says differenty is guessing, has listened to a few of the posters here, or misread something because they are wrong and have very likely never actually had any actual comparative experiences.
Let's hope if there are more people going to post here, that they are either already knowledgeable OR at least take the time to research the subject a bit.
HTH,
Twayne`