I hope I never have an experience that would provide an informed answer to this! It looks like it happened really fast. Did you have time to make any instinctual moves like hitting the brakes? If you were clipless you'd need to make releasing yourself one of the first moves you make (which you can do at the same time as anything you'd do with your hands like braking or steering away).

You could also try multi-release cleats. They have more angles of release including an upward one so it's more likely the unintended movements caused by an accident would release them. The draw back would be more unintended releases.

I spend most of my rides on trails (including my commutes)... if I had to ride on roads most of the time I'm not sure I'd go clipless.