Recently I checked the ticking available at JoAnn's Fabrics. They have what is called mattress ticking from China which feels flimsy and measures about 0.014". Both the blue striped and red striped are the same. The blue striped pillow ticking from India feels to be a tighter weave, but also has lots of sizing that needs to be washed out. They also have a good supply of 100% cotton duck cloth that measures about 0.018" and is tightly woven. Sadly, I could not find any of my favorite, the #40 pocket drill cloth. That was 100% cotton and consistently measured 0.017 to 0.018.
The answer is that ticking can come in a variety of thicknesses. Bring your calipers or micrometer to the store and measure before you buy. The sizing can be misleading on measuring compression. So look through the fabric at a bright light. Lots of bright points of light indicate a loose weave and a tighter weave should be sought.
Make sure the material is 100% cotton. Measure for thickness and tightness of the weave. If it is striped ticking, the striped should be woven in the fabric, not printed. Duck, denim and canvas an be considered for patching.
For the real exotic, 100% linen from flax is a traditional patching material that is stronger than 100% cotton.