This is now fixed in SPP feature release 6.6 and LTS 6.0.6 release which adds the option to create tags or dynamic groups based on Profile Name or Effective Profile name.
As per resolved issues in the release notes of SPP 6.6 and 6.0.6 LTS for CR 224021:
"On Administrative Tools | Settings | Asset Management | Tags, the Effective Profile Name was added. Profiles can be inherited. For example, an account can be assigned to a specific profile (Profile Name) or it can inherit the profile from its parent asset (Effective Profile Name). When inherited, Profile Name will be null. Effective Profile Name will always have a value."