I have never heard of that but I am a very fortunate cat slave. Knock on wood...none of mine have ever had a URI. They have had other illnesses but never the coughing, runny nose deal. I'm so thankful!
Most of them at the shelter have URI's but it's hard to judge if recurs naturally or because they are surrounded by it.
I can relate to you coming home and changing your clothes though. I'm so scared that I'm going to bring something home. I take my shoes off and put them in a bag and change clothes immediately. I don't know if the germs live long enough to bring home URI on your clothes or not.
I hope Jazz is ok. I will be saying prayers that Jazz recovers quickly and Ripley and Scout don't catch anything. Please be sure to keep us posted after you have been to the vet.