Of course you can go lower than 3.6 volts but you are risking the battery's life. A battery is not only about safety (though this is by far the most important point) but it is also about longevity. I have had batteries last longer than a year because I never let any battery dip below 3.6 volts.
If you don't mind buying more batteries after each year anniversary of whichever battery you are using (though I can't attest to efest, I do not care for these batteries...I am only attesting to Samsung 25R, LG HE2, Sony VTC4 & Sony VTC3 batteries) then once the voltage drops down to 3.6 it's time to recharge.
But if you like to drop the voltage lower than 3.6 this is your choice and I respect this.
Good points. I do agree that once you get much below 3.6V the cell has very little capacity left. But the cycle life isn't affected much, if at all, between cells discharged consistently to 3.6V and cells discharged to, let's say, 3.1V-3.2V.
I've done cycle life testing for quite a few cells over the years and just haven't seen a difference. Once you stay at cutoff voltages this high other things affect cell life more than those voltage differences: charging rates, charging termination current setting, cell temperature, cell storage voltage, etc. My Li cells typically last 4-5 years and they're regularly brought down to below 3.0V. In my experience it's been the other things I do that extends cell life.
But stopping at 3.6V will never be a problem for the cell and it reduces cell heating and possible accidental overdischarge. Vape on!