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Yeah, the higher compression the faster the fuel is burned. The faster the fuel is burned the more power you get from the charge. Displacement or Volumetric Efficiency changes are the only reasons you would add fuel. You are increasing the amount of Air getting into the cyl. so, you must increase the Fuel. Higher octane fuel burns slower to reduce chance of pre-ignition. but, also doesn't produce as much power.
Turbo/Supercharging increases the VE while artificially increasing the Displacement and CR.
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Comments should be taken as Opinions not as Statements of Fact 
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