Note: the recorded file will not be available until the live stream is unpublished
If the stream duration is longer than the time between starting live and starting at the first delay point you will have to segment the recording using LiveStreamRecord UI/API
An example would be streaming 1 hour behind the live source but the stream will last 2 hours. This can't be done because the stream will not have finished recording and you can't stream an incomplete file.
The LiveStreamRecord AddOn can segment a recording for you and you would then be able to add each segment that's complete to the scheduler.