Statistics for table is maintained for all the partitions. The table level basic stats present in the table has the combined data for all the partitions. When only a few partitions are replicated, the replicated stats for the table may not be correct. In case of partition column stats, the aggregate stats from the partitions stats table will not correct. So the statistics replication can not be supported in case of partition levee replication.
TODO : Need to check how to handle it.