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Summary:
Heat is lost in three ways in an engine which is at operating temps:

As radiation, which is not affected by ambient air temperatures.
As convection via hot exhaust, which is not affected by ambient air temperatures.
As convection via the air passing over the oil cooler, fins, and attached physical components, which is affected by ambient air temperatures.
I'll give you a 9/10 on that:).

The 2nd point "as convection via hot exhaust" is actually thermodynamic heat sink loss that even a perfect (Carnot) engine loses. Not convection but a loss of entropy :abduct: every engine causes when converting heat to motive power.
 
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