I recall in my days with vSphere 4x that I had to rename a VM once. But, the associated vmdk/vmx, etc files and even the folder in the DataStore did not change. However, when I performed a vStorage Migration to another datastore with the VM also migrating to a new host , when it was completed....all sync'd up. or, that is how I recall it.
But, I am now told my my virtual coworker that renaming a VM and performing a vStorage migration along with migrating the VM to a new host WILL NOT Sync the naming and lables. is that correct? I'm almost positive it worked in vSphere 4.