Deleting CheckPoint server details simply deletes the data on the server for this license and removes the association (the License ID) between the current license project file and the data previously stored on the server.

If you need to delete the license details (on the server) and remove the association- simply click the "Delete this license information from the CheckPoint Server" button:

 

The license data (License ID) will be removed from the CheckPoint License Server and the License ID association in the local license project file will be deleted.