Good topic, Erik.
A difficult speaker load is created foremost by its passive crossover, more so really than (a purer load) low impedance and low sensitivity as a function of the drivers sans passive XO. Combining higher sensitivity, higher driver impedance (i.e.: 8 ohms minimum, as pointed out by @atmasphere ) with an active approach would be ideal in making the most of both amps and cables, and in effect the sound coming from the speakers with the better, direct amp-driver coupling.
What I don’t get is seeing these complex passive filters in many a high-end segment speaker that really only nurtures the forced existence of crazy expensive amps, and which comes down to the need for them to be more or less impervious to load in the face of steep phase angles and the occasional ultra-low impedance dips in the lower frequencies. All the more reason to go active and start throwing those mega amps under the bus, because actively they wouldn’t be needed any longer.
If indeed there’s merit to the claim of people consciously looking for speakers that are known to be a difficult passive load, for reasons apparently that it’s somehow deemed a desirable trait in a speaker, it would seem a fool’s errand; to my ears difficult-to-drive speakers usually can’t shake off an inherent sensation of them actually sounding like a difficult load, irrespective mostly of any beast of an amp thrown at them, so why bother with such speakers in the first place?