Li-Po lasts longer than Li-Ion. Or should I say it has alot more full recharge cycles compared to Li-Ion. But regarding battery life they're practically the same so the battery performance you can see here is not because of the battery but because of the processor or Sense 5.0 ROM itself.
Where did you get that information? Both will do in excess of 1000 charge cycles.
They've been putting Li poly batteries in phones for a decade, so unless you're comparing 10+ year old Li ion with new Li poly, I don't think it's true.