FWIW, in normal conditions I've never fallen over with any pedal type, platform, toe clips or SPD. The only time a pedal has caused me to fall was when I was riding on a very crowned road surface with about 4 inches of wet snow on it. When I hit the pedals the rear tire would tend to side-slip, and I had to put a foot on the ground INSTANTLY - a half second delay meant eating snow. I rode in that with toe clips for about the first 200 feet up a hill then flipped it over and rode on the platform side, and put the platform pedals on when I got home that evening (with the toe clips flipped over, they dragged in the snow every rotation).
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Work: the 8 hours that separates bike rides.