For tranferring the local folder, no. Not in the same way as backing it up, or going from TRS06 to the TC's anyway. TS2009 uses a completely different setup for the local folder.
However, TS2009 can 'import' the local folder. This is done by using Content Manager to import, then commit, the local folder.
Best to leave the commit overnight.
As for performance. It depends on a fair bit. Mostly you will see a performance increase in compatibility mode, even if it is a very small increase. In native mode (doesn't look as good at this stage, due to alpha channel changes, which 'breaks' trees and other various objects) you will see a large performance increase in most layouts, even very high detail ones. At least, this is what I've found including on my own layouts.