Wow. There are way too many variables. Most shoe companies just specify standards and their manufacturers buy from local suppliers, but since most are made in Asia or Eastern Europe, it could be unpredictable.
I've found that most hiking specific rubber soles marketed by the Italian company Vibram are good in wet conditions. Most of my Vibram branded soles are on Merrell boots/shoes. I've worn the original Merrell Chameleon for a couple of years, and the sole is still doing well. I've taken it in mud as well as a few shallow stream crossings. I did find out that waterproof on the outside also means waterproof on the inside, after a torrential downpour at Everglades National Park forced me to take them off and wring my socks. They have a variety of versions of the Chameleon, but all have the similar Vibram soles that are only used by Merrell. For the most part, I find that a little bit of wear from walking on pavement will improve the wet grip.
http://www.merrell.com/Product/NZGP/Mens-Active-Footwear/Hiking/Mens/Chameleon-Wrap-Gore-Tex-XCR.aspx