The dialogue probably still references the Daisy dream and not the hastily slapped together Guardian one, hence they do not match.
The "Dream" in question is Shadowheart's memory of her youth. When she's fleeing from the wolf and gets "Saved" by the Sharrans.
One of the dialogue responses to her sharing this with you is you pointing out that she was wearing a Moonstone, something commonly worn by Selunites.
However, her child self is not wearing any jewellery of any kind. Which makes this particular comment kind of strange to make.
But in the end, using 1st person here or in Shadowheart's memories would be breaking with the narrative of the game. While you can control your player character and have their limited point of view, it's never a 1st person narrative situation, it's a 3rd person situation with a the Narrator doing a lot of the explaining of how you feel and perceive the world. They toyed with 1st person in EA when all the origins narrated their own tales.
Technically, they still have the intro cinematic. Which is 1st person, where you watch Lae'zel and then yourself get infected with the tadpole.
Of course, there's issues with this such as if you then go on to pick Lae'zel as an Origin character, or if you select Durge...
But in general it's not like Shadowheart's memories being 1st person would break the narrative. Since she's literally showing you what she experienced rather than a narrative following her character.
At best it would create some dissonance between the overall game being 3rd person but with a random 1st person perspective in the middle of things (Similar thing could be said about the Dream Guardian, when they talk about how they saved you it comes across as them sharing their memory of the events with you, but it is also in 3rd person)