"Automatically Decide" == "Random" ?

I have a kind of basic functionality question, if anyone can clarify it for me...

I had eight images, each triggering a different layer, with each layer playing a simple animation.  After setting them up, I found that four of the layers re-play the animation when re-visited, and four of them do not.  The "when re-visiting" property on all the layers was set to "automatically decide."

I changed them all to "initial state," so that takes care of that.  But I'm curious about what influences "automatically decide."  I can't find anything different about the layers that would make them "decide" in different ways.

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