I think there are people who cook their hot process soap for hours 'n hours, just like people cook liquid soap paste for ridiculously long times (days, even!) But I'm honestly not sure why. Even though I don't make a lot of HP, I've done enough to know saponification is finished a lot sooner than most people think. I can see the higher temperature HP methods as searching for ways to reduce or eliminate the time and energy used for cooking the soap.
I also think the baggie (sous vide) method also disproves the idea that HP methods require extra water-based liquid in order to stay fluid. I can see where higher temperature HP methods can realistically use about the same amount of water-based liquid as for cold process soap making. That would be nice -- less shrinkage and deformation.
...The "baggie" method is holding much promise as far as doing fancier swirls and such in HP...I have to play with that more....
I also think the baggie (sous vide) method also disproves the idea that HP methods require extra water-based liquid in order to stay fluid. I can see where higher temperature HP methods can realistically use about the same amount of water-based liquid as for cold process soap making. That would be nice -- less shrinkage and deformation.