Is it possible to keep custom attributes?

We are using some custom attributes as well as tags in vCenter to document some details about our VMs.  Is there a way to keep the custom attributes when we fail over?  I’ve checked the Site Settings > Policies > Replication > “For incoming replication, copy the vSphere VM tags to the recovered VM.”  Is there a way to do the same with the custom attributes?   I was hoping this option would handle both, but it doesn’t.  It does bring over the tags as long as they exist on both vCenters, but not the custom attributes.