I think it would be a great idea where the system admin can control the logs and the location of the logs for all the alteryx designer users within an organization. This ensures that no data is being transferred outside the organization.
This is an interesting idea, and while this might be difficult to implement with consideration to more secure environments, we appreciate the feedback on these sort of high level administration features and tasks. I noticed you're relatively new to the idea boards (welcome!) so be sure to check out our Submission Guidelines if you haven't yet as they go over what to expect after an idea has been submitted in a bit greater detail.