It has been my experience with a variety of heavily modified offroad trucks and land cruisers - especially in snow where the difference between static and kinetic friction is so great. It's very hard to build an automatic that will perform well in deep snow. In fact I've never seen one and I've been the trail master of the biggest offroad club in Montana - where we did a lot of snow wheeling. That of course doesn't mean it can't be done, just that I've never seen it.
I'll keep an open mind though. Can you find anyone anywhere who can do the same with an automatic transmission in a stock vehicle - even with front and rear lockers - and a link to a youtube video? I simply think that a driver cannot modulate tire rotational speed that low without either very low gearing or electronic help - and the rotational speed being very low is critical to reaching the maximum static friction thereby allowing the vehicle to extricate its self. I'm always looking for new techniques, so I'd love to see some alternative method.
Hold on, you are throwing out a lot of different concepts here. Let me see if I follow.
Crawl control was designed to maintain a steady speed so the driver never touches the brakes or the throttle (just the steering). Basically, 4 LO cruise control, but with braking, right? Idea being to focus on steering and the let the computer maintain a steady wheel speed.
First off, I have 0 experience wheeling in the snow. But I can grasp the concept of the high delta between static and kinetic friction in deep snow.
How would crawl control be useful there? I mean by definition you would need to maintain momentum and the vehicle has no way to sense actual ground speed (only wheel speed). So direct control of the throttle seems critical to not getting stuck in the first place.
Now once stuck, I guess I can see it marginally useful to get out, but why is an automatic so bad. Because of the torque converter? Or because of the typical gear ratio?
You mention low wheel speed being critical for maximum static friction, but once any movement takes place you are out of static. The kinetic coefficient will be all over the place with speed as the surface is dug up. Also depends on the tires as some will shed with a little speed. So many variables that it seems impossible to make a blanket statement that low wheel speed is critical for maximum traction to get unstuck.
I'm not trying to argue. I just see many different factors at play. Offroad snow is very much a wild card in general to me. It hides so much from the driver. And like I said, I have almost no experience in it. Just played around up in the mountains in the summer when there are still a few fields left.