In find this discussion interesting, with meaningful anecdotes of personal experience. But, the question in the title is answered by "depends" more than one or the other.
My anecdote-
My previous truck, a 2WD open diff Dakota with OEM Goodyear tires, was simply awful in the snow and ice. It would spin one rear wheel or the other, and that was it. So I got chains, but it was a while before I used them.
Then we got a triple layer cake snowstorm, with a finishing touch of glaze ice over everything. I shoveled the truck out the only way I could, by shoveling it into the bed and packing it down. Then I put chains on the rear. Then I was invincible, it was me and lifted 4WD Jeeps on the road going anywhere we wanted, and everyone else going back inside after shoveling out. Even if they had clearance to get over the snow, they didn't have traction on the glaze ice.
So with two changes (weight and rear chains) I went from the absolute bottom of the winter mobility hierarchy, to near the top. I imagine different tire options, FWD and limited slip, all fall somewhere in between. Thus I say the answer to the thread title question is "depends".
PS supton, "new LTX's" ... there are a LOT of different Michelins that start with LTX.