Actually you have more lens options with crop because crop cameras fit both EF and EF-S.
As for better images, it depends how large you print. My largest prints are 13"x19" and crop works well for that.
You can mount more lenses on a crop, but that doesn't mean you have more options. Crop below 28mm FF equivalent has one v good option: Tokina 11-16 2.8. However full frame has 24-105 f4, 24-70 2.8, 24 1.4, 15mm FE 2.8 (which is boring on a crop), 14mm 2.8 (which is nothing special on a crop camera), 16-35 2.8, not to mention that the 35 1.4 is an excellent lens on FF but becomes a rather boring 56mm on a crop camera. There isn't a good 35mm equivalent prime for a crop camera. And all of the wide angle options are very well made and reliable lenses with USM (except the 15mm FE).
I wish it was different, and maybe one day it will be, but FF has a great many advantages over crop. That's why so many people want full frame. Crop cameras have the advantage of lower cost, and a little better reach at the penalty of lower IQ and fewer focal length options.
What about the EF-S 10-22mm & Sigma 8-16mm for crop ?
These two are a little dark and not constant aperture, and not weather-sealed
The efs 10-222 is a really sweet lens optically, but compared to the build of a 16-35IIL it's a toy in comparision.
The ef-s lens is really light, which is another indicator of a toy-town build. The ef 16-35IIL has a lot more metal in it's outer construction and really is a pro lens for industrial use.