All you know about the Peverell brothers is a lie.
The truth is:
Antioch's part has been cleaned up for children. His "combative" personality and fondness for "duels" are euphemisms. Evidence for this can still be found in the Elder Wand's love for strong, dominating men.
Cadmus actually developed the Resurrection Stone to steel him for suicide. That the specters are illusory has been lost to time; that they always urge the user on to death has been lost to willful ignorance.
Ignatius's motivation for the Cloak was sheer voyeurism. While the Potters descended from him… so did the Skeeters.