Some lenses perform better at wide-open aperture than others. According to Thom Hogan, he mentions that Nikon's exotic super-teles are optimized for wide-open shooting, since soooo many users end up shooting a 300/2.8 or 400/2.8 or 500 or 600mm wide-open.
I know the old 400mm f/3.5 ED-IF I have is very good wide-open, IMPROVES to peak at about f/4.5, but actually is decidedly worse at f/5.6...just as Bjorn Rorslett describes it...
But "normal, regular, non-exotics", like say 50mm f/1.4 lenses, or 35mm f/1.4 lenses, usually have "issues", meaning optical defects, that manifest themselves when the lens is shot wide-open. Typically, loss of evenness of illumination across the entire field, i.e. "vignetting" or "light fall-of"; veiling glare, or a subtle, overall loss of contrast across the frame; sharp central areas, but much lower-resolving edges and corners; and so on. A lot of normal, regular, non-exotic lenses suffer from coma, which causes the lens to render out of focus points of light as blurry blobs, and not as POINTS of light...
When you start looking at night-time shots that have point light sources, like street lights for a really perfect example, you see that wide-open, a large percentage of lenses suffer pretty badly from coma wide-open, but that stopped down a couple stops, the performance improves.
Here is a REALLY GOOD review of the Sigma 50mm f/1.4 ART lens, compared against the much less-costly Canon 50mm f/1.4 EF lens; It also shows some night-time shots made with the Sony 50mm f/1.4 ZA lens. The new Sigma 50mm f/1.4 is somewhat of an "exotic" 50mm lens, being priced at say, roughly eight times the cost of a Canon 50mm f/1.8 for example, and roughly double the price of a Canon or Nikon 50mm f/1.4;
Gear for Image :: Sigma 50mm f1.4 DG HSM Art Review
HERE is the Canon 50mm f/1.4 EF, shot stopped down to f/2.0. Look at the bad coma:
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HERE is the Sigma 50mm f/1.4 ART stopped down to f/2.0--pretty good!:
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HERE is the Sony 50mm 1.4 ZA at f/2.0: Holy Purple Spaceships, Captain Kirk!:
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Why is a lens soft wide open? Well, if it is, it's affordable!!!! We do not always need wide-open apertures these days, so many lenses have traded less-than-perfect wide-open performance, and some optical defects, as a way to keep costs, size, and complexity manageable. if you want a lens that's really good wide-open, if you PAY a load of money, you can get one that's very good wide-open.