I had a flat tire once on the rear. Drove the vehicle about a mile before I could find a spot to pull over. The tire store told me to be on the safe side, I should change both tires on that side, since the good tire was over stressed due to carrying the load of both tires. They also said, just to be on the safe side, that I should replace all rear tires because the other set of dually's were actually carry a little more load to and could be stressed. I replaced the blown tire only. Never had any problems,
To answer your question, NO, don't drive andy further the absolutely necessary because the good tire is carrying all the load and is being stressed. Just what everyone else told you.