Interesting. I didn't have that problem. I started my update from 6.0 to 6.1 at 9 pm (with night power-down still set for 10 pm and Stay Connected turned off). The update finished around 11:15. I drove the car the next day with no problems. I did do a full reboot a couple of days later, just to make sure.
Since the settings have changed in 6.1, I have sleep turned on all the time, but I've checked Stay Connected. When I start using the car more, I'll turn sleep off.