+1, that is exactly what winter tires are for, it's the braking and ability to steer that makes all the difference. Especially on our heavy SUVs, it is very easy to understeer at corner entry when on icy surfaces with a bit of speed. Good winters is the only way to go and it even allows you to drive unreasonably fast when everyone else forgets how to even drive
If anyone needs a comparison, here is a must watch video