I had a very nasty moment down a Devon lane some years ago when the passing place was covered in mud.
I wasn't going particularly fast - it was a single track road, but as I pulled in to the left to let the oncoming car through, the brakes didn't respond at all.
My choice was through the hedge or through the gap. I made it through the gap, having clipped door mirrors, but he must have thought I was a loony.
ABS is not all it's cracked up to be, When it doesn't respond you need quick reactions, and most drivers will freeze (me included).