I scheduled a departure time using the Central Information Display with preconditioning enabled today, then plugged in the EVSE.
The instrument binnacle said it would be charged to 100% by the scheduled departure time (5:15pm). The MINI Connected app said it would be done charging by 1:15pm.
It finished charging by 1:15pm, rather than "pacing itself" to finish charging right before the departure time. I haven't configured an off-peak charging time window (which this would have been well outside of), so I don't know if that's a factor or not.
At the departure time, I unplugged the EVSE and got in the car. The HVAC behaved as with my previous test: It was gently blowing "comfortable" air until I started the car, then immediately adjusted to reflect the separate driver/passenger side settings. Each side quickly achieved their target temperatures, so the preconditioning definitely worked.