The first thing you are taught is never to hit the brakes on ice or snow if the car starts to slide, just try to steer out of it.
I had a moment in the snow where Ive locked up (I wont beat about the bush, I was going too fast for the conditions) and the ABS was going mental and I have been able to steer (I use that term loosely as there is only so much control you can have when skidding on snow / slush / ice) whilst slowing down and let the ABS take over and it was fine. Had I not slammed on the brakes and let the ABS do its thing Im sure it would have ended badly.
My ESP will be staying on and not coming off.