The P1150 is a low source resistance power supply. If the DUT pulls high current, the P1150 will attempt to deliver that current. A common DUT design architecture is to have an LDO power a subsection, and enable/disable that LDO for battery current saving. That circuit subsection, powered by the LDO, may have large decoupling caps, that LDO will attempt to power up those caps. At time zero, the current into a cap is "infinite". This is called "in-rush" current.
When a real battery is used, it cannot deliver "infinite" current, because a battery is a chemical process, and has significant source resistance.
The P1150, being a low source resistance power supply will show you the "in-rush" current problem you didn't know you had.
In-rush current(s) are notorious for causing "random" resets in your DUT. Especially when the battery is low in capacity, cold, or "aged", or all of the above. With the P1150 Aux A0 input you can monitor critical power supply rails and see the brown out that in-rush currents can cause. Many microcontrollers have a "brown-out" detector on their VCC supply and will reset. Some microcontrollers, like the STM32 series, have a reset reason register that you can check on boot.
How to fix in-rush currents? Ideally its a hardware change, to use an LDO (or SMPS) with a "soft-start" capability. Often a hardware change is not available. One thing you can try is to "PWM" the enable signal of the LDO (or SMPS). By toggling the enable pin at ever increasing duty cycle, you are "charging" up those decoupling caps slowly. The P1150 has helped many designers tune the toggling of the enable pin.