Pilar is pretty sure she doesn't teleport, she's not sure what she does instead but teleportation doesn't sound right at all. It's not weird teleportation, it's not-teleportation-at-all.
But, okay, if they don't want to focus attention on teleportation with respect to the diamonds, cool.
"Cake girl should be able to walk in visibly and without teleporting, at the correct time, if she tries. Then what? I'd expect her to be kidnapped and tortured for information, but how do they do that, exactly? And is there a way to make sure she ends up in Hell shortly after" CORRECTLY THIS TIME "which doesn't make it clear that we knew all along what would happen and were prepared for it? Assume the cake girl can maintain her will under torture for an extended period and is able to supply deliberate misinformation, but would like to be sure of dying in time to get Raised after dawn tomorrow."