Just got the plat. Yes, the timer resets every 24 hours, but the total time continues to add. An important moment: after you have waited 100 hours, you must complete any level: trophy pops on the results screen.
You can simply idle the title screen for Lifeless trophy. Play time seems not updated when you go to Stats screen, but if you start a new game or load any level and then quit, you’ll see that play time has added.