Hi Barycenter:
Last summer while camping I used a Global AT-2000 antenna coupler (tuner) between a Tecsun PL-600 portable receiver and a 50ft random wire to listen to the 49 and 22 meter bands. I was able to peak the received signals by turning the tuning knobs on the AT-2000. This brought up the received level of signals I wanted to listen to, made the stations 'pop up'.
The summer before, I went camping with a Palstar R-30A radio and 40 ft random wire connected to the Hi-Z antenna terminal of the Palstar, no antenna tuner, listened to the same bands. I was surprised how quiet my reception was, stations were not popping out even though I was in the middle of nowhere.
I'm not a scientist, but it seems that an antenna tuner works as advertised for shortwave listening with a random wire antenna.
I'm planning on going camping this summer with a random wire, Global AT-2000 antenna tuner, Afedri SDR and laptop. Perhaps I will 'see' the signals 'pop out' as I dial the tuner.
Would like to hear about others' take on usefulness (or not) of antenna tuners for receiving.