They will be deleted from the remote controller and will no longer be accessible in the DJI Cloud (if any are stored there) since the remote controller will no longer be linked to your DJI account.
You would only be able to see them on both devices if you synced your flight logs to the DJI Cloud. If you did not do that, they would only be stored locally on your RC Pro.
You can clear everything by doing a factory reset on your RC Pro.