OK, so as a person who drives un-plowed dirt roads, and trails on the regular in the winter I can lend a few pointers.
Snow Tires are a must for a vehicle this heavy. It doesn't matter if you are on a plowed road vs fresh powder, if you cannot maintain grip, once they start to slide physics takes overs, and you end up in a ditch or worse. Tire chains are nice too, but I rarely use mine... once in 4 years.
Always have a recover strap (the elastic kind) in the vehicle, the extra elasticity (when rocking back and forth) can help propel you out of a rut an get you moving again. Also if you are stuck, nice for a passerby to just hook up to lend a hand.
Compressing the snow works to a point (if you are high centered), but once you have created an ice layer under the tire (from spinning too much in cold weather, melted snow freezes back up once the tire stop spinning) the LR4 isn't going anywhere.
Traction Mats (Maxx Traxs or similar) are awesome!!! I go through a set every few years, and I keep them in all my cars.
I get what you are saying about the driver error; i was stuck in less than 2" of snow in my in-laws drive way, because i created ice pack under all four wheels, a 2wd 86 ford ranger pulled me out

.
Preparation is key to winter driving, living in Maine I have learned that. prepare for the unexpected.
I am not judging you, OK maybe a little

, but we've all been there. just adding some insight for our invincible Landys
