I have found that the tires which are the +=*\}^}^#+!!?! to mount because of their stiff sidewalks offer the best stability in the event of a deflation.
Personally, if I have a flat due to a tread penetration and then have had to ride it flat back home, (at reduced speed, of course) I throw the tire away. I don't try to patch it because I expect the carcass has sustained damage making it unsafe to operate at speeds and loads to which I would be subjecting it. You may want to do otherwise, for me the streets are dangerous enough.