inconsistent inrushmeasurment depending on "power plug"
You obviously have reproducibility issues. Inrush occurs when large capacitors are charged up. After you pull the plug, it may take a surprisingly long time for the caps to discharge. It could be 30 seconds or even more depending on the design of the supply. So if you don't wait long enough, you may get a much smaller inrush waveform.

Another thing that can confuse you when looking at inrush is triggering. There may be more than one inrush pulse. For example, maybe there is an initial large pulse, followed by a smaller pulse with a different shape. If the oscilloscope re-triggers on the second pulse, that is all you will see on the scope.

Finally, when using an external amplifier, you introduce yet another variable which is amplifier setup. It may be a good idea to validate your test setup In order to get a correct result, the amplifier and oscilloscope probe scale have to be set up correctly. It may be a good idea to measure a known current before trying to measure the unknown inrush, just to validate the setup.

Also, current probe amplifiers can clip if the maximum current is exceeded. So if you have a sort of flat-topped pulse, and that is not what you expect, try turning the probe amplifier to a less sensitive setting (don't forget to also change the scale on the oscilloscope).