Two hours later and is it back on. Interestingly in trying to figure out if the manual had any indication how how long it might stay off I discovered this statement:
"The 12 V starter battery is automatically and
periodically charged using electrical power
stored in the main drive lithium-ion battery.
A buzzer in cabin sounds while the auxiliary
battery is being charged."
This answered a previous question I posed earlier, "Why does the car occasionally start beeping in the cabin when left with a window open".
Sure enough when I see the WIFI is on again I went out to the car and it was beeping away. I guess when it got around to recharging the 12V it also turned the WIFI back on.
I'd be happier if it just recharged the 12V silently.