Basically the turbo only pumps air, so pumping more air in does nothing unless more fuel is supplied to match it.
The revs that the turbo come in at is set by the pitch of the turbine blades and the exhaust gas flow of a given engine neither of which are 'practically' adjustable.
But you can set the pump to deliver more fuel when the turbo is onstream.
Turning the pump down without the intercooler is nothing to do with the extra heat, simply because there is less air going into the engine, warmer air is less dense than cool air so with out the intercooler there is less air going into the engine. It much like a carburetter, you set it the mixture.
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