Depends on what you're making... If you're doing a stout at room temp (75ish) and age it at 85, you probably won't notice much difference.
Now, say youre doing a pilsner. You ferment at 48, then try and lager in the attic(85). Because there is much less to hide behind (light malts, etc) once you chill down to serving temp you will have a harsher beer, that won't be as clear. The longer it's kept at 40 or below, the more chill haze will precipitate (the proteins that cause the harsher flavors may precipitate out as well).
All things equal, assuming perfect sanitation, and sealing so no oxygen can get in.
Oddly enough, you pressurize the batch and you can get similar cold aging results at warmer temps, but not up to the 80s. Another thing to worry about too warm would be yeast decomposition. Some nasty flavors are imparted when yeast explode.
As for too cold: as long as it doesn't freeze, there is no such thing as too cold, IMHO.