So, any actual technical explanation from you including schematics, besides insulting everybody who is so "mistaken" from your point of view?
I do trust Gene's measurement, but they are mostly for Yamahas, and speaking from common sense perspective - cutting output power for 4 ohm loads does not make much technical sense, the power should be same as for 8 ohms to avoid overheating, so voltage can be limited, but since amperage is higher for 4 ohms loads output power should stay same.
If it's not the case with Yamahas it's just means poor design, nothing else, it's unlikely to be same for all other AVRs.