I've done my share of snow wheeling and have never run chains. I guess I focus more on looking for the right combo of fresh snowfall, existing snowpack, and weather conditions. When you hit the right combo of weather and snow conditions, it gets epic and is one of the funnest situations to be out wheeling. Having been out on rotten/crusty snow, wet hardpack, layered snow/ice, deep dry powder, etc I can tell you they all drive different and each situation calls for a different technique.
I can see chains being extremely useful for any situation where you have an icy layer in the mix. Off camber shelf roads get extremely scary when there is ice present and I have had some of my worst pucker situations in that scenario. But I've also been in two feet of deep, freshly fallen powder and had the 4Runner devour it with F/R lockers engaged... like driving a tank, just unstoppable.
Another thing that helps is having a smooth belly/ground clearance... skids front to back to keep the under carriage from hanging up and to provide some flotation. And of course finding the right tire pressure for footprint/flotation. Long story short, if someone gave me a set of chains, I'd run them to see what they are all about, otherwise it's all about the other stuff.
Maybe a foot and a half of snow on the road crossing this meadow, but an icy layer on the bottom. Grant burned a day worth of calories digging me out of this one. Lockers didn't matter once I hit the ice layer. Chains would have made it a cakewalk to back out.
Deep, fresh powder... epic fun and leave the chains at home. First pic was the end of the road in one direction, pushing 2.5 feet.
But 12-16" following the tracks of cross country skiers was a blast.
The worst is in the spring when you start the day with a couple of inches of snow, then the temps rise and you drive out in MUD.