I don't doubt that at all, and I also believe no AVRs can offer enough juice for 4 ohm speakers when pushed hard. On the other hand, a 100W rated Marantz AVR can be safety used for 4 ohm speakers if you voluntarily de-rate it to 50W. The same applies to integrated and power amps as well.
The LSI 15 appeared to have a sensitivity of 88 dB so for the AVR, it will be like driving an 8 ohm speaker with sensitivity of 85 dB.
I think this 4 ohm vs 8 ohm thing should be looked at in conjunction with other factors including the sensitivity, room dimension, sitting distance and the required SPL average, peaks etc.
For 4 ohm speakers, the difference between a good and strong (e.g. Marantz SR7010, Denon AVR-X4200W) 125W AVR and a 250W power amp is only 3-5 dB because a good and strong AVR typically can do a little more into 4 ohms and the power amp cannot truly double down. I am only talking about 2 channel applications obviously.