Isn’t it better to have wide tires in snow?

Hello, I think about 1 year ago the car picture made a test on this topic. The result was, except for Aquaplaning the wide tire is better. Now I have with my Mondeo the Michelin Alpin A4 with about 6mm profile in 235 45 r18 and I got stuck this winter already 3 times. Yesterday again on the mountain. My mother with her 215 Dunlop (also a Mondeo) with 5! mm profile passed me shortly afterwards. Also nobody in my family has such problems and I the le Winter did not last either. Are now smaller tires as one once believed better?