The Princess' whole schtick is that
she becomes the threat you perceive her to be. If you think she’s weak, she remains weak, but
the moment you even entertain the idea that she might be powerful, she becomes powerful. If one starts to believe she’s an unstoppable monster, they've already lost, because that belief itself makes her one.
This extends even to stray thoughts.
Just the suspicion that she may have a weapon
gave her a weapon she didn't have, the tiniest thought that she was immortal
made her completely and irreversibly immortal. Even killing her isn’t simple, as she only stays dead if her opponent
fully believes she is dead.
If there’s even a shred of doubt, she’s still alive.
This also creates a snowball effect, the longer the fight goes on, the more likely you are to see her as a bigger threat, and in turn, she becomes a bigger threat. Worse, because she can talk to her opponent, she can influence how they think about her. And really the only way to prevent this spiral is to
never entertain the idea that she is strong, dangerous, or capable of anything beyond what you initially assume.
This is why in-general her opponent's abilities and such don't really come up much in Princess matches, since it's basically entirely a mental battle.
But this only applies if her opponent qualifies as a "
living being." What does living being mean here? Presumably something capable of perception, no? You can't change the Princess based on your perception if you can't perceive anything in the first place. So the Princess' Subjective Reality is null against stuff like mindless machines and such, and the Puppet isn't that, she's a ghost possessing a robot, rather than the robot itself. So the Subjective Reality works fine here, no?
Well...
The Narrator doesn't shape the Princess. He is an Echo, "
more like a memory than a person," and yet He is sentient, self-aware, and capable of doubt.
The Specter (A ghost) directly even compares herself to Him, "
[He's] kind of like me, actually," and the LQ's own narration dismisses His statements as "the ranting of a ghost."
Functionally, the Puppet's the same as the Narrator
So would the Princess have her Subjective Reality here? I dunno.