I know we all have to pick and choose what we consider canon from pjo/hoo at times because of the inconsistencies in riordan’s writing between the two, but for me, I will never ever ever ever let go of the “children of the big three are so disproportionally powerful in comparison to other demigods that Zeus, Poseidon, and Hades vowed to never sire anymore of them because they could very well bring about the end of the world should they desire it” aspect from pjo. Its so essential to the set up and foundation of pjo and the consequent treatment Percy, Thalia, and Nico receive because of it. The way they become outcasts to a camp of people who are already outcasts. The way the gods debate at the end of nearly every book in pjo on whether they should let them live. I still think about just how quickly the fight between Percy and Thalia got so messy that campers were visibly scared of them (or Percy, at least), and you think about how they’re only young teens at this point in time and get this inkling of “oh, so this is what the gods are afraid of.” And sure, hoo doesn’t outright dissuade this notion of big three kids being scarily powerful, but it does undermine it by having other demigod children of non-big three gods suddenly have power that puts them on the same playing board of big three children. And to be clear, there’s absolutely nothing wrong with other characters having powers, but the level of power shouldn’t be, nor ever get, to the same level that big three children have and hoo really suffers from these sorts of powerscaling issues.