I think those were not colds, but just the symptoms (rough throat, running nose, etc.) caused by the immune system reacting to something.
I agree with this. If I eat smoked meat (even naturally cured) or meat that has a lactic acid starter I will get a "cold" or a "flu" but it is like you said only a bad reaction to what I ate. Other allergy foods can do this as well but these ones seem to be the ones I react to the strongest.