All government meetings should be recorded for posterity. 1. This inhibits corruption (as might have happened in the case of the Illinois Governor)2. It preserves the record of reasoning. This is valuable, because circumstances change, and it would be possible to go back and see if the arguments remain valid or should be revisited.
Public meeting recordings should be posted on-line so everyone can see.
Private meetings, such as those related to national security, should, of course, have limited exposure until the administration ends or security concerns have expired.
Keep a copy of the recording in off-line store. This would be for security. We have all read about hackers altering or stealing material from web-connected computers.