Yes.
Think you misunderstood his question- or I misunderstood your answer.
Yes MB, P-3 pilots set their own power, or at the very least start moving the power levers and let the FE fine tune them during takeoff. Pilots have the option of having the FEs adjust power settings climbing out, in the pattern. I usually don't because it helps keep my scan moving.
When we climb we typically start the power addition and tell the FE to set whatever we use given our weight.
On station, its practical to have the FE set the power to keep XXX knots most of the time. When they are senior, they are pretty good at that- takes some of the junior guys a while though.
Pilots control their own power reductions and adjustments, particularly during decent on station and from downwind on in the pattern.