The reduced pressure in the inlet manifold increases air flow into the manifold thereby increasing the mass of oxygen and fuel in the charge when the inlet valve closes on the inlet stroke. The extra mass of fuel and air generates more heat energy when burnt. that aspect has nothing to do with adiabatic heat.
Because of the charge cooling due to fuel evaporation, without ignition, the temperature at the top of the compression stroke will indeed be lower. This allows for a higher compression ratio or more ignition advance without detonation. Modern engines with high compression and knock sensors might gain from this. Optimising compression ratio to suite the fuel will yield gains, but requires engine modification.
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