I don't think a light that is malfunctioning by not turning green for a cycle should be treated as a 4-way stop; it should be treated as a blinking red.

4 way stop assumes that the cross traffic is going to stop. That's the case if the light is totally out (like in a power failure) but if you stop at a light, then go because you were the first one to it, and there's cross traffic with the green, you're almost certainly in the wrong (also dead).

What you should do is stop, then proceed when the way is clear. That's what you do at a blinking read, not at a 4 way stop.