When is a cold a cold ?, or when is it Flu.....? as Mickle says, those two guys were probably recovering from Flu, rather than a head cold.
I'll go out with head colds a I feel it clears them. I have, when younger, ridden long commutes with the flu - not really advisable - and I don't do it now.
The only one I find is hard to recover from is a bad chest - feel the after effects last some time - i.e. in the cold weather. Had a bad chest a couple of winters ago (probably work stress related) but it took months before I'd be able to go out in cold weather without coughing my guts up once I reached home, and the warm air hit my lungs...