I know that the power banks that I have contain timers. If nothing else, when the button is pressed, and the level of charge lights show, they turn off after a few seconds.
So when the load detected by the power bank is low, the output won't switch off immediately, there will usually be a timer which will keep the output on for a bit. That might be seconds, it might be a few minutes. It could allow lots of time to measure the voltage.
Another consideration is that most boost converters will have an output voltage that is the input voltage less a Schottky diode loss. So the output voltage will be over 3 V even with the converter turned off. It means that some power banks can detect the current taken by the load at 3 V as a signal to turn on. It would be quite easy to get one to turn on without realising that you had done anything.