Insert to a partitioned table doesn't replicate properly in case of incremental dump/load. Few key points to be noted.
1. If insert command itself created the new partition, then the inserted row is replicated. But the subsequent inserts into the same table doesn't get replicated.
2. If the partition is created using ALTER TABLE command, then none of the inserted rows to this partition is getting replicated. However, the partition metadata is getting replicated.