"Mainly".I read it... Common cold mainly transfers via air. You aren't going to get clusters of transmissions from people touching things in stores.
Do you understand what that means? It doesn't mean there are no other significant vectors. Read your own link properly: it talks about fomite transmission as a lesser, but still active, vector.
It does, undeniably, hold many times over the infectious dose. Most of that will die/deactivate in the air or fall to the ground. But yes, if others are nearby, a not insignificant amount will be inhaled, or interact with the mucus membranes (nasal, ocular, or in the throat). Much of those will still be deactivated by the immune response.What you said is not that it's theoretically possible to get sick from a fraction of a sneeze (which, ok, sure, probably extremely rare but possible), you said a small fraction of a sneeze holds many times over the infectious dose, thus it sounds rather likely to get sick then, doesn't it?
Its not super likely to get sick from being nearby someone who sneezes once. But its not negligible, either; you could still have inhaled well above the dose, at which point it will depend on the robustness of your immune system. Two or three sneezes? A few minutes of repeated coughing and sneezing? You're multiplying the number of active viral agents in the air into the millions.