I can say with all honesty that I've taken everything legal to trap in this corner of my state (Nebraska) with a little #11 longspring. (same jawspread as the #1)
Big beaver, coyote, cat, fox, coon, badger, you name it...that little trap has awesome holding power by design, and whatever gets in it stays in it, even if only held by a couple of toes. Good swiveling is important, and always always always stake for the biggest possible catch, not just whatever small game you are targeting at the set. Last year I even took a small possum that somehow managed to get both front feet and one back foot into the trap...I'm still scratching my head on how it happened because all 3 feet had to be less than 3 inches apart to all get within the little jawspread upon closure. I use these traps a lot on land if I think that there is a chance at a dog...the spread is sooooo small that most dogs have big feet that will span the jaws and just snap the trap with no catch. But I've taken plenty of fox consistently with this model to use it with some confidence on them in these areas. I have one incident of a fox by both front feet in this little trap, too.
I've even held some very large dogs in them, with no ill effects.
Double-jawed models have much more rigid jaw structures, and don't pop out when I get a surprise jumbo catch.