I'll tag on here and say that All-Season tires or Winter Tires will almost always outperform off-road tires when it comes to driving in snow. There's some physics involved in why this is--but it has to do with (among other things) tire temperature, flexibility of tread, scavenging of tread, etc.
p.s.
I can't see the pic in the 2nd link from where I am at the moment, but the other 2 look like there was a lift involved; I'm almost sure of it. Another problem is that no 2 tire models will ever fit the same; even from the same MFG sometimes. They'll have different should width and tread height--even though they are listed at the same fit specs. Thus person A without a lift on size "x" tire/wheel combo from brand Y will have a different fit than person B without a lift on size "x" tire/wheel combo from brand Z. For the most part, wheels will fit our vehicles with same--assuming you have the same fitment specs (not too many issues with caliper clearance, etc). But tires are a different story. I know from my experience that upping the sidewall by 5 still allowed for a (mostly) stock fit. I did end up having to do a small trim to the front bumper corners after moving to 18" rims though. Your 2001 stockers are 18"--but will sit more inboard than mine (I wasn't able to get the +12 or so offset I wanted, had to settle for +0, iirc). Thus, you may have a bit more clearance on similar size tires--than I did.
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