What do you mean double the capacity ? How is 3.7v relevant here ?
The chart you give is for discharging at 0.5C.
If you have a high enough load the cell will hit 3.7v after 1 second of usage - even if fully charged.
Check out
- at 5.0A the cell reaches 3.7v almost instantly.
Then when you disconnect the load the voltage will go back up ( this is probably what you measured .. ? )
From what I can see there would be no obvious advantages to using LIPO for your scenario other than the slightly smaller size. LiPo are generally used when you need funky battery shapes / high drain currents.
EDIT: Oh I think I get it about the 3.7v. If you think that The LiPo will give you 10k mAh when discharging to 3.7v but a simmilar Li-Ion will give you 10k mAh when discharging to 3.0v - I don't think that that is the case. I haven't seen this stated anywhere explicitly but the mAh rating is likely the total charge stored in the actual battery chemistry, regardless if you can use it or not - so if anything the 10kmAh LiPo will give you less mAh because of the high cut-off voltage. The reason why I think this is that LiPo and LiIon have similar energy density( high-end Li-Ion a bit more ).