Hi,
I don't really use Terminal at all.
I have one set of "code" that create a full start up log on iChat/Messages that I posts now and then.
I did not expect Messages to Sync stuff before iOS 6 that had not already been synced.
Messages Beta did not sync messages prior to the Mac version being Installed and "Coming On Line".
The Full version up to OS X 10.8.1 and Messages version 7.0.1 only synced iMessages to and from the Apple ID and again from a "Start Point" that needed to be created (either deleting all current iMessages or turning Off the Phone and restarting).
I had an iPhone 3GS that I dropped and my son upgraded his iPhone 4GS to a 5 and I go the hand me down as a sort of replacement.
This has not synced the Messages I had on the 3GS.
iMessages is not like the AIM service of a few years ago when you could add yourself to your own Buddy List and text chat with two computers logged in to the same account which then shows both sides of the conversation.
Nor the current type that shows the incoming half of the conversation on a second computer when chatting to a Buddy (even that does not "sync" your replies.) if you are logged in twice.
The word "sync" tends not to mean the same thing in IM apps as it might do elsewhere.
9:42 PM Saturday; September 29, 2012
Please, if posting Logs, do not post any Log info after the line "Binary Images for iChat"
iMac 2.5Ghz 5i 2011 (Mountain Lion 10.8.2)
G4/1GhzDual MDD (Leopard 10.5.8)
MacBookPro 2Gb (Snow Leopard 10.6.8)
Mac OS X (10.6.8),
Couple of iPhones and an iPad
"Limit the Logs to the Bits above Binary Images." No, Seriously