The Mac Mini’s great grandfather, the G4 Mac Cube, had a motion sensing power button placed on top. If “astonishing” is what they were going for, they nailed it. Reaching for a paper on your desk? Astonished. And of course you’d have to fend off jokester friends waving their hands around like madmen.
Edit: searching online I’m seeing that apparently it wasn’t a motion sensor? So maybe it was vibration or light contact (with clothes, etc) that caused it? For context, ours even started having phantom power downs that I assumed were from the power button, so it may have just been a failing component.