The Q viscous limited slip is a critical part of the algorithm for both ABS [less so for rear but why you can use a single channel for the rear] and TCS [requires dual channel rear]. The differential fluid temperature affects the EXACT lock up point of the viscous silicone fluild........as do warped viscous plates damaged from overheating [excesive spinning].
The oem tires min/max slip points/slip angles are programmed in..........the make/brand tires are tested and the numbers derived are added to the softwear. Some [many] aftermarket tires have wear indexes which exceed the oem 200, therefore the tire may not be able to maintain as high a friction coefficient [Mu] as designed...........thus the ABS/TCS actives early and longer decreasing vehicle performance.
Generally tires that don't meet oem specs add significant feet to braking as more time is spent with less braking pressure to avoid lockup.
Same with TCS, hard tires will increase acceleration time as they are more likely to spin at least in 1st gear.
The abs/tcs ecu is smart enough to know when things are slipping more than normal and shifts programming [attack, ramp up, release rampdown, time between pulses] to a winter/wet mode which may be even worse in achieving minimal stopping distances.
Notice that the Tire Rack Test for braking of even the Ultra/ High Performance tires show up to 10% deviation in braking distance...........some of this is the tires themselves and some is how the ABS reacts to slight differences in the tires friction coefficient!
The number one cause of bad ABS/TCS performance is owners not purchasing tires which meet the oem specifications, unfortunately to avoid liability and the Warren Mag Act oem equivalent tires are not specified or required as replacements!
The owner therefore assumes all responsibility for diminished performance when they purchase a replacement tire.
http://www.fuzzytech.com/e/e_a_esw.html
"just what Nippondenso did. When the ABS first detects blocking of a wheel, it starts to control the brake fluid valves so that each wheel rotates with a slack of 0.1. The fuzzy logic system then evaluates the reaction of the car to the braking and estimates the current road surface. Considering this estimation, the ABS then corrects the set value for the slack so that it achieves the best braking effect."
Unfortunately the fuzzy logic can't differentiate between a low friction road surface or a low friction tire compound!