Up until SketchUp version 22, the viewport did not recenter, when changing the scene in LayOut. This worked well for me as I had my viewports set up, and after copying them I just had to select a different scene and all models in that scene appeared correctly.
From version 23, the viewport always recenters to the new scene, messing up my viewports. Is there a way to have the old functionality back?
having the same issue. Following.
This is a known issue and the developers are working on a fix.