Dear Addys81,
Thank you for your follow-up message. I understand your concern about making Teams recordings accessible for everyone in your organization at all times.
Currently, the design of Microsoft Teams allows only the meeting organizer to download the recording, which does pose challenges in situations where the organizer is unavailable. Unfortunately, there isn’t a direct setting in the admin center to change this behavior for all users. Please refer to this article for your reference.

To address this limitation, I recommend sharing your feedback with Microsoft via our user feedback website: Microsoft Feedback Portal. This way, your request can be considered for future updates, as user feedback plays an important role in shaping product features.
In the meantime, you might want to encourage your meeting organizers to share the recordings promptly after meetings, or consider having a designated person as a backup organizer who can also access the recordings.
I appreciate your understanding and hope this information is helpful. Please let me know if you have any other questions or need further assistance!
Best regards,