I have plugged countless car tires and several motorcycle tires, with standard "monkey grip" style plugs, and I have never had a failure nor do I know of anyone that has.
Done properly, that plug isn't coming out. The closest I've ever had to a failure is when I did the repair outside in the freezing rain, with bad (partially gummed up) cement. Even then, the plug didn't blow out, it just leaked annoyingly until I could redo it properly.
I wouldn't plug a track tire (wouldn't pass tech inspection anyway) but I have zero issues plugging a street tire.