The latest version was done with atoms by Andrew Truscott et al.
http://www.sciencenutshell.com/clever-experiment-proves-quantum-physics-weirdness/http://www.smh.com.au/technology/sci-tec...603-ghfw59.htmlSo here they aren't moving the observer they are delaying the choice which is actually what the movement of the observer does in the alternative form.
However you create the delay, by observer moving or delaying the choice on a moving object, you get the same problem. It ends up cause A and effect B are not in correct time sequence, effect precedes cause. So either cause is retro-causal and can move backwards in time OR cause and effect are based on observer reality. So people may not even agree on cause and effect along with everything else in relativity. Classic physics has a hard time with that one, everyone is supposed to see the same cause and same effect.
From QM we are left with an awkward choice from a classic physics stand point and while neither has been falsified we tend to go with the observer reality option. Retro-causality is a bitter pill to swallow.
All the big effort is in doing the experiment with Bacteria something that most of us would view as macro molecular and alive. Literally have the cat AKA bacteria alive to one observer and dead to another.