When my ABLS kicks in it is the same sound as when the ABS kicks in.
Not sure exactly how it works, but since the B in ABLS stands for braking I guess the ABS and ABLS use the same control thingie, but of course different sensors.
My ABLS works very well. I havent been in a situation like yours but I purposely put the 2 right tires on pure ice, and the left tires on pavement.
The pavement tires got the traction.
Same thing with snow covered icy roads.
I also have a pure winter tire on my X.