Dunno what you are so excited about with that BAS or Sensotronic system. It should be around for over decade now.
Reason they implemented it is not just because drivers tended to underestimate braking distance and braking force, but because there is very distinct moment at the start of emergency braking when you can put ALOT more braking force onto the tires than later. When you suddenly and sharply brake, car weight moves forward and compresses front suspension, pushing the tires harder against the road. During that time you can apply higher braking force without risk of locking the wheels. And its that initial moment that counts most. After the moment of inertia of the car stops working as additional downforce, it is time to relieve braking force abit. Thats what those braking helpers do. They just track the sharpness of braking to dosate the additional braking force.
Re ABS vs. not, please don't spread dangerous and harmful misinformation. Without ABS faster can stop only experienced race driver and in controlled situation, not every time unexpected event on the road occurs. Snow and loose gravel is the only condition when ABS works against you, as there you actually benefit from locking wheels.
Most people simply have to get used to ABS and know how to behave when it triggers. People tend to instinctively relieve the brake pedal when it starts to rumble, which is biggest mistake to do. ABS is to be fighted fiercly - its tries to unlock the wheels, but you must apply higher pressure - as high as you can. Only then will you both do the right thing.
About a year ago I experienced brilliance of ABS firsthand. I was driving in 2nd lane at 60kph past several cars in 1st lane where some moron stopped to allow another moron to drive out to the highway from the right sideroad. He should have given me precedence, but he didn't even look at the 2nd lane when he was given way - he was looking in other direction and drived right across my path (he was taking left turn). I didn't see his car at all until it was about 10-15m to it. Road was lightly damp.
It all happened like an afterthought - there was absolutely NO wilful action on my side - it all happened on spinal instincts. I crushed the brakes, the wheels locked, ABS rumbled, no way to get stopped in time (about 5-8m left from 50kph), simultaneously sharply cranked the steering left, car obeyed throwing sideways, jumped into opposite lane, cranked wheel right, stopped braking, back into my lane around the bastard who was staring in opposite direction and _accelerating_. I dropped from around 60kph to 20-30. ALL that happened in about 1 second. I'm not exaggerating - for me it felt like 0.3 secs, I just know it couldn't be that fast, but 1 sec is the distance I traveled.
It took several long seconds to actually realize what happened and what I managed to do. Only after adrenaline rushed.
I have a reference too. Few years earlier on car with no ABS a car some 50m in front of made unexpected and unexplained panic stop (young driver stopped right on the rail tracks to "give way" to a tram), I braked alittle late, wheels locked, car wouldn't obey left turn, I didn't realize it until it was too late, when lifted off the brakes, there was too little time and space to get past it - it takes time for wheels to regain traction! It was a crash. Not a big one fortunately as there was room and time to brake down a lot more.
The last one that I avoided, was _purely_ thanks to ABS and braking helper. There is not a chance in hell I'd avoided a crash without ABS. There was simply not enough room to stop, however good brakes you might have. It was precisely _necessary_ to be braking with highest possible force _and_ steering. And that impact would have been devastating. At 40kph sideways into a corner of that moron would've ruined the car completely. Wife by my side thought this is it that she'd get this thing into her laps. She told me we passed by this idiot by less than half a meter.
I'm absolutely sold on ABS. That freaking braking distance is absolutely nothing if you have no control. And if you think that you'd manage to wake up from commuting lethargy into cadence dancing with brakes and manage better than ABS and instincts, then you're dreaming. Training and technology is your friend.