I generally put a tire patch over small holes and rips. Keeps the tube in and derbris out. Takes very little time if you are patching the tube anyway. Diligence means finding the tire puncture and cause anyway. If the tire distorts at the cut when inflated and the tire is worth saving (like the rather expensive, wonderful riding but easily cut Vittoria Open Paves) I glue a large patch of dacron sailcloth on the inside with contractor's contact cement or Barge cement. (If you ask nicely, any sailmaker will probably just hand you a decent sized scrap.) I have ridden thousands of miles with large cuts so repaired.
Ben