Besides aperture ( opening ), there are lots of other factors that could also "affect the picture taken", for example.. sharpness, color tone, camera handling, composition and many many more...
If you are taking a picture of a wide landscape, and you are using small aperture say F11 , so that you get the entire picture sharp. Then , weather the len is able to open wide or not does not matter any more..right.
On the other hand, if you are shooting portrait, then a wider opening would enable you to throw a more blur background. In this case, the wider opening the better.
My point is... every lens is designed to catered for different usage, application or situation. And , there are so much more things that will affect the picture taken other than aperture.