You probably already know it, but this White Paper might be of some help:Compressing ArcSDE Geodatabases That Contain Replicas -Best PracticesAs per the document referenced above, it almost sounds like your replication setup is Two-Way, instead of One-Way. The document describes as situation where this may result in no changes being compressed on the Child, unless the Child is synchronized with the Parent with changes being sent from Child to Parent (even if no changes were made), see page 11.
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