Could the higher pressure in narrower tyres enable them to melt a thin frost layer and therefore achieve better grip with the road? I'm not suggesting that this would apply to black ice, BTW.
I don't know. But would you actually want it to? Surely water over ice is the ultimate in slipperiness? I suppose if it could melt a very thin frost layer all the way to the road surface, it might work, but if would have to be almost instantaneous melting to give a grip advantage, I'd have thought.
<Far from physics bod, I'm afraid.