Hi 
I have a mitas rear tyre and pirelli front. 
Went out in the snow about a month ago on the nice sunny welsh hillsides and had more grip than my mates who all have michies, we all attempted a big hill climb and after the second attempt i did get to the top mostly on the back wheel  as it was quite rutted the other four didnt get close, tyre pressure was about the same in all bikes. 
Dont know if it was my impeccable skill     that got me to the top, luck   or the tyre    I'd say Luck!