This is a weird turn of events! The Dark Souls 3 Network Stress Test seems to have opened for anyone who has a PlayStation Plus account. You may download the application now, but no word is up regarding if it is available to play yet. The launch of the application was mentioned to be October 13, 2015 so one can only assume this is to pre-load the app.
If I can get in within the test, I will certainly record footage.
Edit: Upon launching the app, you may agree to the terms of service. However, when attempting to login you get greeted with this message.
Failed to log in to the DARK SOULS III game server. Select OK to attempt to log in again.