I would investigate a couple of things, always with a scope on the output. If the E-load has a trigger output, use it to externally trigger your scope. I would set the repetition rate at 100 Hz.
- 0 to 100% load and back; @ maximum voltage output
-10 to 90% load and back; @ maximum voltage output
Repeat for the lowest voltage output your supply can produce, or the lowest voltage the E-load is compliant to. You may have to read the manual to find out.
You'll be surprised at the difference. Then you will understand how come many precision power supplies put a pre-load resistor on the output.
Also, you should investigate:
-Startup time no load.
-Startup time resistive load.
-Startup time constant current load.
You will also be surprised that some power supply designs latch up when started under a CC load.
One question for you: which E-load did you purchase?