Surly Endomorph 26 x 3.7 or Nokian Studded 700 x 35: Which works better for ice?

Both is my answer. It really depends on the conditions. They both excel in different conditions. Let my elaborate. We've had some challenging, icy road conditions after last weeks winter storm. A mixture of warm temps gave us snow and rain. When the temperatures dropped well below freezing soon after the storm all this stuff froze onto the roadways. The result was an icy concoction making any travel, by car or bicycle, a challenge. Yesterday I rode my Cross Check outfitted with Nokian Hakkapeliitta W106 700 x 35 studded tires.
Monday and Tuesday I rode my Surly Pugsley with the 3.7 inch wide Endomorphs. No studs, but very wide tires that you can run low air pressures. Both are designed to get you through wintery conditions.
This weeks roads looked a lot like this. Heavier traveled routes had been salted and sanded more diligently than side streets. Resulting in bare spots combined with ice. At times the ice was 1-2 inches thick and rutted from tire tracks formed prior to it freezing solid. Areas to bale out on the side of the road did not exist. The side was a combination of unplowed snow, ice and rutts.
The road above was basically a solid sheet of bumpy ice with a loose layer of snow on top. We have had a few dustings of snow, including some flurries yesterday. Normally I would think the Nokians, think ice, would be the best choice for this. I was wrong. On Monday and Tuesday I rode with confidence on the Pugsley. I made sure I was cautious on the ice. Meaning no quick stops or turns. Over all I had no problems with the ice. Wednesday with the Nokian studded tires was a different story. They gripped great on the ice, but gave me a few scares on the bumpy stuff. Turns out the ability of the Endomorphs to absorb most of the bumps gave me more confidence on the ice than the studded tires. The fat tires seemed to float right over everything. On the Pugsley I could dive onto the rough side if a car was coming too close to me. I tried it once on the Nokians and almost lost control. As much as I love the studded tires, in these conditions the fat tires were the most confidence inspiring of the two.
Which has better traction? Bare paws or dog booties? Dash Riprock would definitely choose the bare paws. But he doesn't last more than 20 minutes outside in this cold without the booties. He hates that coat and the booties.
A recent purchase that paid off today. Shimano two-sided pedals. On the slippery stuff I like platform pedals so I can put a foot down fast. But I dislike climbing our local hills without clipless pedals. These pedals provided me the best of both. On the heavily salted uphills I could be clipped in. While on the slippery stuff I could ride on the platform side of the pedal and be able to get my foot down without having to unclip. The past few years I've spent quite a bit of time with a pedal wrench switching from platform to clipless pedals depending on the conditions of the day. No longer, this pedal was a great solution for my needs.