This was probably just an error or the animators neglecting to remove the sunglasses from her model, but I actually find this kinda charming even if it is impractical.
Characters on The Loud House close their eyes two different ways. One way makes it look like their eyes are upside down letter U's and another way makes it look like their eyelids are actually connecting. I always noticed this and found it interesting.
Which one do you prefer?
For those who do not know, "schediaphilia" is essentially having a romantic or sexual attraction to fictional or cartoon characters. And Lucy clearly has some level of attraction to her bust of Edwin from Vampires of Melancholia and even to the character of Edwin from the show, so I think she would qualify.
Of course she still has romantic associations with real people, like Rocky and Silas so it's obviously not exclusive.