I have not heard the SE version of the AMR --dont know if anyone has. It has been due for quite a long time now, like a year.
For naturalness, I would go with the Lampizator. The AMR had great layering, separation, air and articulation. But IMO, that is all audiophile/personal wants and needs. Once the Lampi was in place, stuff like that just left my mind and I now just enjoy the flow of music... Forgetting about all these separate wants/needs and just listening is when you know a cable or component is right.
The AMR did some things very good and I liked it a lot actually. But the Lampizator just plays great music and I wouldn't mind going up to the L5 some day.