I run 5000mah 2S Nuenergy lipos in my Flux and rarely put more than 3600-3800mah back in. I quit running when I 1st notice it starting to slow. I don't wait to hit the lvc. I'm using 3.4v/cell as an lvc (runs as 4S so lvc is 13.6volts). I get 20-25min run time and don't see the need to run a few more minutes and stress my lipos.
I generally see 3600-3800 go back into the lipos on a charge, or about 75%.
The lvc is there to prevent a disaster, nothing more.
If your Hyperion is not underrated (some lipos come way underrated, meaning you can put 6500 into a 5500mah rated pack), then your Tekin must be set at something like 2.7v/cell. I wouldn't run mine down that far.