As per this post, have you tried setting the sort values of your lights to a negative number?
To explain: my current guess is that what we’re seeing there is the shadow-map being rendered after the final render–thus lagging one frame behind that render. As a result, if the shader that renders shadows is using up-to-date information on the light, it would be comparing that information with a shadow-map rendered from a different position, and thus producing odd results.
Setting the sort-values of the lights should–if I’m right–alleviate this by virtue of causing the shadow-map to be rendered before the final render, thus being up-to-date for it.