It is indeed a 'membrane' switch, here is the original patent with drawings, by Ruyan and Hon Lik (the modern inventor)
Patent US20130139833 - Electronic cigarette - Google Patents
Thanks Orb! So, as you see from this excerpt: (208), under the action of suction pressure difference, distorts to drive the switch spring (212) and sensor (207), thus switching MOSFET electric circuit board - it's not sound but air. Air provides the pressure to switch the device on.