I have quick releases on most of my bikes and trailers. It only takes a few seconds to pop off the wheel, and it gives better access for whatever I'm doing.
My last 2 flats...
#1 , heading out and noticed my rear tire was a little spongier than I expected. About 30 miles down the road, I got a pinch flat in the freezing cold, and light rain. No good pull-off. I just parked myself on the edge of the traffic lane and popped off half the tire, and added another tube. Now, I have a slow leak in that tire, and will have to track it down for permanent repairs. No sitting around and trying to patch that one.

It wasn't a real busy road, so I didn't actually get passed while I was on the roadside. I assume the culprit is one of those little wires which are nearly invisible, especially after being buried in the tire for 200 miles.
Then, later in the day, I developed a slow leak in the front. I pumped it up and made it to a small park and shelter. Still, about 60 miles from home, and leaking down in about 5 miles, I decided to replace both the tire and tube with a spare I had. Running low on spare tubes, I didn't relish the thought of patching the next one in the rain. Fortunately I made it home.