Heat != Power
In simplest laymans terms they may equate, but let's try some simple analysis:
Power = rate of energy conversion, ie. energy / time.
Heat = form of energy.
Over time, the energy stored in the battery is converted to heat.
The more power the processor requires, the more heat produced in a shorter period of time.
Therefore increased processor power consumption = more heat to dissapate over area of phone = hotter phone.
I really would prefer increased run time over higher performance. My phone does everything required as long as I remember to charge it every day..
Biting the hand that feeds IT
