Actually, now that I think of it, you can construct diverging scenarios even in classic Sleeping Beauty. I'll write about it later.

And the problem with making that assessment is that, just like in the classic Sleeping Beauty problem, you have to factor for agents located in your personal future. Even if the copying is said to occur "instantly", in fact no process is completely instant. There will still be some time passed between the snapshot being taken and the copy being constructed.