This is the first big reveal for what happens to kids after they lose their Guardians. For most children, they simply forget ever having them, but they retain all the lessons and experiences that they had with them. Those with Elites, however, never forget them. To these children, their Guardians aren't Guardians; they are pets, friends, and individuals of significance within their lives.
As Eddy pointed out earlier, an Elite can remain close to their assigned child for much longer than a typical Guardian. They can even remain lifelong friends with them if necessary. After this, Chloe will be a part of Chelsea's life for a long time to come.