ok I was doing some checking on the 302 atty since I'm not real familiar with it...
first thing I found was that you gotta be careful not to screw them on too tight...seems on some mods they're prone to shorting...which could complicate things...
second one supplier gave me a resistance on them of 3.5Ω +/-.03 ...but we'll go with your #
3.1Ω at 3.7V is an amp draw of 1.19A
so the rest of the math:
1190mA/550mAh= 2.16C ...60min/2.16C= 27.78min or 1666sec...given that you said 10sec long button presses that's about 166 button presses
*so how long does it take you to go through 166 button presses? round about 3 hours?...
EDIT:
now the regular AW 16340
batteries...FOR THAT ATTY SPECIFICALLY...the amp draw does not exceed the max drain of the battery (but it's close so they're getting stressed and may have to be removed from duty more frequently) of a max drain of 1.5A
so the math should kinda support that you got more time out of them
1190mA/750mAh=1.59C.. 60min/1.59C= 37.34min or 2264sec or on your 10 sec long button presses .. 226 presses..
given the difference you said between 3 hours on one and 4 on the other that's a difference of 60 presses in an hour... 60 presses in an hour is round about 180 presses in 3 hours 240 in 4 hours...
so to me yeah it sounds like the
batteries are right in line for your
vaping style unfortunately..