AWD in general will increase traction. Allows you to get going on slick surfaces, and go up hills. It does nothing to help you stop or turn.
As has been hinted at, all AWD systems are not created equal. Some simple systems run as FWD untll slipping is detected, then some power is sent to the rear wheels. Others are full-time and have sophisticated systems that control where the torque and power is going based on multiple inputs. Some also improve handling on clear dry surfaces with features like torque vectoring.
I've spent over five decades driving in the mountains in New England in the winter. I've also had FWD, RWD and AWD vehicles over the years. I am a big fan of an AWD vehicle with a good AWD system and good tires.
I wish folks would stop saying this! It's simply not true.
See post #11