After registering a different vCenter on "HCX Manager Admin UI" Configuration > vCenter Server the effects include, but are not limited to:
HCX leverages the unique identifiers (UUIDs) within the specific vCenter instance in order to manage the entire inventory of network and VM objects. Because of this, an existing HCX Cloud Manager or Connector cannot be registered to a different vCenter instance without database objects becoming out of sync. Attempting to do that will result in a UUID mismatch.
If the original vCenter is no longer available follow the resolution at HCX Recovery process after vCenter redeployment.