I'm assuming you mean cowboy boots, because that's what you typically wear and show in when riding western. In that case, it varies from boot to boot. I have 5 pairs of cowboy boots, and 3 of them have the smooth soles, while the other two have a rubber sole with a slight tread. Both are fine, it just depends on which you prefer. I personally prefer the smooth soled boots because they don't get a bunch of manure/dirt stuck in the tread, and in the case that I need to do an emergency dismount, or I fall, they come out of the stirrups easier.
Point shoes (ballet) and tap shoes are examples of smooth-soled shoes.
Frye Boots creates the boots using all real leather materials. Heels are made of stacked leather, with smooth leather soles. Some boots do have a small amount of plastic, but mostly are made of all real nice leather.
Walking boots need pattern soles so that walkers have a good grip on their shoe and their feet are supported properly.
Rubber boots, or rubber soles on boots, is an insulator
Crepe rubber.
Take them to your local motorbike shop as they usually have somewhere they can send them to replace the soles. If they are boots like Alpinestars tech 10's don't let them wear through too far as then the soles cannot be replaced
Leather and the rubber soles that have been strengthened are what are used to make the Coleman boots.
modernshoe.com
Converse Boots are a type of workers boot. Usually a Converse Boot will use woolen, silk or cloth soles to make it comfortable for the person wearing them.
It means to repair a boot by replacing soles or heels.
You can purchase Mason shoes on Amazon. They have a great selection of shoes for men and women. You will find leather shoes, western boots and work shoes with guaranteed soles.
You need good soles so that they don't wear out too soon, or so that you don't slip. "Good soles" is relative; you need good soles on hiking boots, but not so much on dress shoes.