It may be that the difference in sharpness is of no concern to you, which would be understandable depending on how critical you're being. However, if it means you can't see a difference in sharpness, I would be surprised. If the sharpness is the same throughout all focal lengths at the smallest aperture as at the middle apertures, I would be exceptionally surprised. That's because that characteristic would be very unusual for that type and quality of lens.
This website reviews the sharpness of a Sigma 18-50 lens but I don't know if it's the exact model that you use. The reason I took a look at it is that the lens has been tested and the results are displayed in a graph at the right. The review indicates that variations in sharpness can be perceived, as I would expect.
When you click the blur graph at the right, an interactive graph is displayed in a new window. Set the focal length, as just one example, to 18. Then set the aperture to f/22. The lower sharpness value, the sharper the image. Notice that the sharpness in the corners are at values of about 4 - 4 1/2 and the sharpness in the center is about 3. Then set the aperture to f/8. The corner sharpness values change to about 2 1/2 to 3 1/2 and the center sharpness changes to about 0 to 1.
If I remember correctly, a change of value greater than 1 generally can be perceived when viewing the image. (I tried to confirm that information but found nothing bout it at the web site. I'm positive that information used to be provided and seriously doubt that it has been removed.) The change described above in the center of the frame, which is the most important area, is a change of about 2 to 3 units. Moreover, I would expect this to occur.
If you're only posting your images in the small size required for use on the Internet, I wouldn't be surprised to learn that the sharpness differences displayed in the graph can't be seen. However, I would expect them to be seen when viewing medium to large prints at distances that are appropriate for the size of the prints.