While what Natalie has stated is to an extent true, numerous factors are believed to influence the longevity of fishes. Temperature is only
one of those factors.
Temperature, diet, size, sex, reproduction, the genetic make up of each fish, as well as the overall environmental stress (from water quality, aggression, etc) all play a role in the lifespan of each fish.
Higher water temps typically equate to higher metabolic rates in a fish, take that same fish & feed it to meet or exceed its energy demands, and you will most likely reduce that fishes life span. By how much is impossible to say with any degree of certainty, and much of this will be dependant on numerous other factors besides just the water temperature.
IMO a high protein/fat diet will cause far more health issues including in many cases premature death in aquarium fish than water temperature. Many experts in this field consider fatty deposition of the liver (fatty liver disease) to be the leading cause of death in aquarium fish.
Some fun reading on this subject.
http://icb.oxfordjournals.org/content/44/6/494.full.pdf+html
That's just one opinion, here's a few more.
http://www.nature.com/nature/journal/v212/n5067/abs/2121277a0.html
http://www.sciencedaily.com/releases/2009/07/090727191906.htm
http://www.nothobranchius.info/pages/pubs/download/free/Valenzano_Temperature_2006.pdf
While there may be a fine line that exists between optimum temperatures and longevity, IMO the other factors combined FAR outweigh tank temperature. I personally see no problem with keeping a CA cichlid for its entire life at 80-81F, if all other factors are optimum, such as water quality, diet, and an overall low stress environment. For fish kept in captivity, a slightly elevated temperature could be viewed just as much a positive (immunity boost), as a negative. Having said that I wouldn't personally keep any cichlid in the mid 80's (or higher) for any extended period of time. I don't view those temps as adding any long term health benefits to a cichlid, and they may in fact have a negative effect over the long haul.
HTH