Hovering over "Sync Artifact Properties" question mark when configuring a remote pull replication displays below information relating to syncing statistics:
"When set, artifact download statistics will also be replicated. Set to avoid inadvertent cleanup at the target instance when setting up replication for disaster recovery."
It should display the correct definition related to "Sync Artifact Properties" as below
"When set, the task also synchronizes the properties of replicated artifacts."