revolultrablue,
Your thoughts are correct. There are definite relationships between power, temperature and stability. Core voltage proportionately affects Power (Watts), which is expressed mathematically in "Watt's Law" as W = E x I; where "W" is Watts, "E" is volts and "I" is current (amps).
No two processors are identical; each processor is unique in voltage tolerance, thermal behavior and overclocking potential. As Core speed (MHz) is increased, Core voltage (Vcore) must also be increased to maintain stability. This increases Power dissipation (Watts) which increases Core temperatures.
Additionally, as Core temperatures increase, transistor "leakage current" also increases, which in turn increases power dissipation (Watts), resulting in a further increase of Core temperatures. In order to minimize this thermal "spiral", increased cooling capacity is required.
We know that excessive heat over time damages electronics, so excessive Vcore and Core temperature can result in accelerated electromigration, which is actually caused by current flow (amps).
The consensus among well informed and highly experienced system builders, overclockers and reviewers, is that cooler is better for ultimate stability, performance and longevity.
Check out our Guide:
Intel Temperature Guide -
http://www.tomshardware.com/forum/id-1800828/intel-temperature-guide.html
Sections 7 & 8 have the info you want.
CT