I did the update, being very careful to NOT disturb the phone or the Fives. Everything was turned off except the Fives. Others were tired of waiting for me to finish this. While waiting, they pushed the disk tray button on the BluRay player to load the disk they had chosen. Well, that powered on the BluRay, which powered on the TV, and that auto-switched the Fives from Bluetooth to HDMI TV. This happened near the end of update step 2. The update seems ok.
Maybe the updater guards against this type of interruption, or maybe I was just lucky. If I had thought of it, I would have disconnected HDMI from the Fives.