I finally figured out how to cook pot stickers!
Tonight I had a sudden inspiration while cooking pot stickers, and managed to cook them without any tears or holes.
Previously, I had tried to keep them from sticking to the wok by moving them around while they were cooking. Tonight, I decided to try leaving them alone. It turns out that they release from the pan when they brown! Perfect stickers!
This seems so zen-ish. Don’t try to deny their essential pot-stickyness. Go with the flow.