All forms of Princess should get
Subjective Reality. Not sure if we should give them
Plot Manipulation as well, The Construct is essentially set up as a "narrative" in-universe so it might be accurate to give all characters that ability while inside the Construct.
Additionally, we've overlooked
Immortality (Type 9):
9: Transcendental Immortality: Characters whose true selves exist independently from the plane where they can be killed.
I believe this is technically the case with the Princess and the Hero (their existence while playing their respective "roles" are not their true selves, and killing the Princess only works when the Hero honestly believes that the Princess is truly dead (which would only bypass Type 9 because of the Subjective Reality stuff).
Also, I've noticed that many of the chapter 2 forms of the Princess don't have "same as Base minus
Peak Human Physical Characteristics". I think practically all the Chapter 2 and 3 forms still have
Immortality (Types 2, 4, 8, and possibly 9),
Subjective Reality (and possibly
Plot Manipulation if we decide on adding that), and
Resistance to Pain Manipulation.
The Adversary has a second potential level of
Immortality (Type 4), as the Voice of the Stubborn can end up thinking "The Princess cannot die" which results in her immediately resurrecting on the spot without having to reincarnate as another version of herself.