Yes, you would receive duplicate logs if you are forwarding from both sites, as that will include replicated logs from each site/database.
I haven't seen unique tag/field to indicate its original or replicated event. However, each event will have host=server1 (in site1) or server2 (from site2). But this may not be helpful, unless there is a way in the Symantec console to write only logs to files that are originated in that site.
Another option (assuming in the DB, we can differentiate replicated logs) would be to use DB connect at each site, but only pull events that are generated in that site, excluding replicated logs. You may then need to extract fields your dashboard/reports etc..
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