I have those Ariat paddock boots - I got them on a really good clearance some years back. I’ve used them as regular winter boots on occasion, but I’m not wild about them in that context for a couple of reasons: they just don’t seem durable enough, they don’t have enough grip/traction for true winter walking, and the fit isn’t quite right for getting thick socks in there.
The biggest problem is definitely the tread. They have a really shallow tread with a narrower sole than a true winter boot would have. That makes sense if you want to ride in them. If you do ANY kind of walking on snow or ice, you’re going to slip all over the place and the lack of bulk will make them colder. I have the Ariat winter tall boots (the Bromonts I think) and the tread on them is just shot. I don’t wear them ANYWHERE outside the barn or the indoor arena. I learned that one the hard way.
That said, I often use them for late fall/early spring, when it’s cold but not yet very snowy. They’re definitely nicely waterproof and plenty warm down into the 30s.
You’re better off sinking money into really, really good winter boots. I love LL Bean; I have the Wildcat boots for my day to day winter wear. I am neurotically careful about not wearing them into the barn. Until last year, I had a pair of beat up thinsulate mud boots that I would wear into the barn but before I put on my winter tall boots; they cracked last year, so I’m trying to decide what to do this year.