The only times I've needed chains, were in pretty severe conditions. But I have needed them. And its amazing how well they work.
My parents cabins aren't all that far from where I believe you are. This was in early 2021, when they got something like 3ft of snow at their cabin, in like 36hrs. They had 8 miles of fairly well maintained (but not plowed) non-paved forest service road to get through, just to get to the highway, to eventually get into Payson. And every road out of Payson was closed.
The snow came up past my knees - about my inseam in most places. Which meant that the snow came up over the bumper on the 2002 F150 FX4 supercrew my parents have (up to/level with the bumper, but wasn't going into the grill, if that helps with visualization).
This fell overnight. I'd shoveled/cleared some of their driveway area the night before, and its just behind the carport area, which is why this part isn't quite up to the bumper there. And that thing on the left is a picnic bench. The top is almost level with the snow there. You can actually see the chains there (we put them on the night before).
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Which means that when driving, we were pushing snow/compacting where we were driving. Its hard to tell in the photo below, but the there is a foot or so difference in height between the underbody area, and the areas to the side of the tire tracks. And you can see where the pumpkin for the rear axle was scraping along (we did a quick check down a shorter run of the road, to make sure we could get out before we closed down the cabin/actually committed to loading up and leaving. In case we got stuck we could hike back to the cabin and wait it out).
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On the way out (photo above), we came across at least 5-10 other trucks/SUVs/SidebySides that were stuck/stranded/abandoned. Some were in the ditch on the side of the road, some were just right in the center. We were chained up front and rear, in a non-lifted, bone stock F150 FX4, and made it out just fine.
Another time we were up there in similar weather, and we had to tow a ford explorer full of people out the whole 8 miles back to the highway. Again, we had chains (that was actually our first time we used them), and they didn't, and it made all the difference in the world.
For this type of vehicle, I'd really hope that we can use actual chains, and not just cables, or "snow socks".