Thank you for that episode! Inrush currents are very interesting and hard to measure.
The inrush currents of inductive loads rise quite slow but persist a couple of periods.
If you switch on @ voltage zero crossing you will get the biggest amplitude while switching on @ u_max the inrush current is much lower.
But switching on capacitive loads such as switching regulators, LED lamps etc. @ u_max you will get much higher currents for some 10µs. To measure this is more challenging. You can do it with the Fluke DC clamp which looks similar to the Chauvin Arnoux E series
http://chauvin-arnoux.co.uk/shop/detail/152-current-clamps-acdc/flypage/59-e-clamp-series.html?keyword=clamp+meter&sef=hcfp
