Bike light statefulness

I was recently examining my back bikelight. It has four modes: on, off, flashing simultaneously and flashing sequentially.

What seems to happen is that if I take the battery out and put it back, it remembers whether it was on or off, but flashing modes just all become "on". I'm not sure if I'm imagining that, since it seems strange that the mode would be remembered in a non-volatile way, but it's what seems to happen.

Does anyone know what's going on inside?