YouTube's instructions state that to stop the stream:
To stop, simply stop streaming from your encoder. YouTube will detect that you stopped sending content and stop the stream for you.
When I stop streaming from OBS, the YouTube stream goes offline as expected. However, the stream archive doesn't appear in my video manager and when I refresh the "Stream now" page the "Elapsed time" still continues.
To get my stream archived and show up in my video manager I went:
Stream now → Basic info → Advanced settings → Live Control room → Stop streaming.
Is this the proper way to stop streaming on YouTube?