You are right, the mains would not receive 100W each simultaneously. The question is, how often will you have music or movie program that sends signals to all 7 channels at the same time and at the strength that would drive each channels to 100W for sustained period of time.
If you are talking about "peak", doesn't it then imply it will be for short duration only. If it is for short duration, then I would say even the Yamaha RX-V1400 (tested to deliver less than 50W all channel driven) should have no problem delivering 100W to each channel at the same time. When HK specifies all channel driven power, say 55WX7, they mean 55WX7 continuously. This (continuous) is what a lot of us say is not necessary.
In fact, if it is (which it isn't) only for the sake of power, I would take a 130WX7 such as the RX-V2500 before I would take a 75WX7 HKAVR630. With the RX-V, I will get more powerful amps, each can deliver at least 130W, whereas with the HK, I will get a larger power supply, therefore more "all channel driven" power, but each amp individually will be only good for about 85W at clipping.
Zumbo, I am not trying to argue with anyone here neither. Just trying to learn something... In the example I used, the HK may have more all channel driven power, but the Yamaha will be less likely driven to clipping for most commonly available music and movie programs. Let me know if my logic is wrong. Thanks!