Often hear that narrower tires with smaller rims(thus with higher side walls) are better at snowy and icy conditions.
How’s your real world experience for the matter?
I,ve tested winter tires and 4 seasons in the same day and condition but never had a chance to compare between two sizes with the same compound in the same condition.
https://youtu.be/wf_mIlU82Ac
Summary: Narrow has better traction and control, wider has better braking. However the differences are fairly small, the difference between a quality tire and an average one will be bigger than these differences.