here's my opinion from someone who frequents trackdays
GRIP, the mythical properties everyone keep talking about, but to me it's completely irrelevant in the usual street.
Please, don't kid yourself - when was the last time you heard your tyre screeching while take a corner?
Or braking, most ppl thinks grippier tyre = better emergency stop, it's true to a certain extend, but most don't understand weight distribution, you need to progressively increase the load to your front tyre before it can handle such emergency stop. What happens to commoners when they want emergency brake? Well - in less then 0.5 seconds they just stomp on the brakes, and your ABS activated, which translate to even higher stopping distance(bad),. you don't want your ABS to activate in order to achieve maximal deceleration. Because of your technique, you've just disregarded your "grippier" tyre benefit as traction is proportionate to
WEIGHT applied onto it, not surface area or wider tyre
The point is, performance oriented tyres for the streets are really of no substantial benefit to your everyday driver, unless you are someone who are used to semi-slicks tyres and knows and can feel instinctively your car's grip, most driver don't even come close to the limit of a basic well inflated, within operating temperature michelin primacy 4 grip.
For me, i use comfort oriented tyre for my daily/comfort/family car - because that car has <300hp and don't really have the hp/torque to break traction on every corner exit anyway.
Instead of choosing a tyre of safety, try driving safely instead of pushing into a corner on a rainy day thinking you got a PS4s and it's OK to do such things.
Not sure why you want to use emergency braking as a scenario to compare tires performance. Moreover how people drive on road is not that much difference than on track. The car behind cant make the car in front disappear. Braking would be applied appropriately unless in cases of emergency or someone get hot headed and trying to outdrive the car.
I had used a set of PS3 in the past and now using PS3 ST. Even though these give similar grip somewhat, however there are big differences in braking, body roll etc. You do need to adjust driving behaviours to make up the loss of performance in the tires. Even my wife complained about my driving after changing the tires. The difference in braking performance alone affected the ride comfort to the point that she felt like Im driving too fast.
Even though the difference maybe subjective to everyone, it is just blatant stupid to disregard the difference because of certain aspects that occurred in certain situations.