Once CML is renamed it will no longer be visible in the front end on CML page by its old name. But it will remain present under the old name in the CML Calc Results
Like in the following example CML A5 is present in CML Calc Results

But not in the CML page

Thre reason for this was that CML A-5 was renamed to CML A-15 by user.
IMS does not update the PDMP Name automatically as its main purpose is to allow users to choose a custom PDMP name.
Therefore, when the CML Name and/or SubCircuit are updated, the PDMP Name will be left in the original state and it is left to the Inspector to update the value where appropriate.