Rigging position values for different snapshots

I've created a Motion 5 template (an Effect) and successfully set up snapshots for it to work in 16x9 or 4x3 mode. I'm now adding a rig (a pop-up) to allow selection of an on-screen item's position to be top-left, bottom-left, top-right or bottom-right. However I cannot find a way to set the x,y position values independently for the 16x9 and 4x3 snapshots -- any setting I make while in one snapshot affects the other. Has anyone got any suggestions?

Thanks Mark, that's what I did. There are 2 objects which are in a group and I am setting the group's x,y position within the rig. But the position I set when working in the 4x3 snapshot carries over when I switch back to the 16x9 snapshot.

Unless I'm missing something (quite possible) I only see how to set one position in the snapshot for the new outer group (the group containing the group which has the 2 on-screen elements). I don't see how to rig the 4 positions (top-left, bottom-left, top-right, bottom-right) other than using a rig.

I guess to clarify, when I'm talking about a snapshot, I'm talking about the project-level snapshot, not a snapshot on the rig. I don't know if I was clear about that.

This is my first time trying to post a file to these forums -- I'm a little lost doing it, I hope this works. This is my .moef file.
3986_oldschoolcamcorderblinkingrec2.moef.zip