Thanks for the fast update!
I did some digging, TeamSpeak writes these settings to its database.
The relevant table is server_properties, i.e.
SELECT * FROM server_properties
WHERE ident LIKE '%log%'
| server_id | id | ident | value |
|---|---|---|---|
| 1 | 1 | virtualserver_log_client | 1 |
| 1 | 1 | virtualserver_log_query | 1 |
| 1 | 1 | virtualserver_log_channel | 1 |
| 1 | 1 | virtualserver_log_permissions | 1 |
| 1 | 1 | virtualserver_log_server | 1 |
| 1 | 1 | virtualserver_log_filetransfer | 1 |
The setting used for logging user connects/disconnects is virtualserver_log_client