If subsequent change(s) is/are edited into the Device name field in the above existing account, that change will only be reflected there (locally) and not be reflected in the user's Mac device due to lack of Administrator privileges.

Then, that Mac unique computer/device name will be conveyed to if an account was established there.

If the Mac device's computer name is assigned a unique identity when first activating the macOS system, subsequent installation/activation of Malwarebytes for Mac Premium will allow the Mac's unique computer name to be sent to the Malwarebytes licensing system.