A pressure-compensated axial piston pump is a constant pressure pump
There are two main types of Constant Pressure, CP, systems
1. CP
2. CPU, Constant Pressure Unloaded
CP systems always run with max pump pressure and strive to keep that pressure as long as the pump can discharge enough flow through the metering orifice. When the pressure reaches the main compensator setting the swash plate destroke the pump and the only flow that gets discharged is for the internal leakage.
A CPU system senses when the directional valve is in neutral and a secondary low-pressure compensator will destroke the pump. This low pressure is commonly called "stand-by" pressure and is usually somewhere around 35 bar (can vary between 25 bar and 50 bar depending on application). This stand-by pressure will take the mechanical load of the pump when "idling" which then will reduce wear and unnecessary heat losses. If max pressure is 200 bar and the load pressure is 80 bar there will be 200 bar - 80 bar = 120 bar in heat losses over the metering orifice in the directional valve.
There is a third system very similar to the CPU system called Load Sensing system, LS. This system has a variable max pressure determined by the actuator load. A pressure signal is sent to the low-pressure compensator when the directional valve is "touched" this pressure signal will then be added to to the stand-by pressure to make the current max pressure. If load pressure is 120 bar it will be added to the stand-by pressure and make 80 bar + 40 bar = 120 bar, and only 40 bar will be heat losses over the metering orifice in the directional valve.
So now back to your pump issue. We need to know which type of system your pressure-compensated pump is working in.
If it is a CP system you have, and an unnormal larger internal leakage flow will put extra load (power output) on the pump with max pressure.
If it is a CPU system we need to know if the stand-by pressure is signaled with (positive) pressure or (negative) non-pressure. A complete schematic will show which.
The LS system is more complex but always works with a positive pressure signal. Some LS systems have a max pressure load valve which by-passes the LS function to make the system a temporary CP system. If the loading valve i "hung up" it could cause your symptom too.