Funny you should mention...
We've had the first 'real' winter here in a few years. It's Canada. We've seen 4 feet of snow in a weekend. Then it melted to slush. Then it re-froze to ice. Then it melted into water. Repeat the whole darn cycle.
I've driven in winter conditions with Land Rovers, Jeeps, pickups, CUV's, AWD sedans, RWD sedans on all-season tires, all-terrain tires and snow tires.
This year with the Land Cruiser I started out with AT4W's. Nope. Not the experience I was looking for once the winter weather arrived. Yes, they can get around, no you definitely won't get stuck. They're okay in snow and mediocre on slush and ice, which is consistent with most 3PMSF all-terrains. (The Goodyear Duratrac's were the best I had in the AT field between BFG, General, and Falken.) The Land Cruiser just didn't inspire confidence, which was disappointing.
So I ponied up and put on a set of winters. In the past I've had Blizzaks, X-Ice, Goodyears, Pirelli and Dunlop winter tires. All were good. The 'performance' winters they put on cars like my C-Class are not as good as a regular winter tire, but were still better than all the all-terrains. The only non-winter tire that comes close to pure winter performance is the Michelin Cross Climate 2's I have on a Mazda CX-30 AWD Turbo. (That is some fun in the snow.)
I put a set of Continental XTRM IceContact tires on the Land Cruiser. (Canadian specific model. Started with a Continental IceContact and incorporated feedback from Quebec tire distributors, apparently.) Now the Land Cruiser is EVERYTHING I WANTED IT TO BE in the winter. Absolutely unstoppable and sure-footed in anything you can throw at it. Deep snow. Slush. Ice. Hard pack snow. Salty, sandy frozen pavement. Wet. Can you break it loose? Sure you can, but you have to be driving completely recklessly. In the middle of a snowpocalypse snow squall off the Great Lakes, I experienced a little slipping when accelerating (but no sliding), so I turned on the centre diff lock. Perfection.
I'm sure once the OP puts on the Blizzak's they will be happy.