In that particular scenario.
, Yes I would want something else besides a pocket firearm. An AR15 would be my choice. But I don't want to carry an AR with me everywhere I go. So the answer to what I would want in my EDC is exactly what I choose to carry, usually a j-frame. Maybe on that particular day I would want something larger than a pocket gun, but on every other day a pocket gun is exactly what I want. Sometimes I even carry an LCP. It's not because I'm under trained or because I haven't thought it through, it's because I don't want to walk around all day with a full sized gun hanging off my belt.