The original story has it that Snow White awakens because of a kiss from a prince. This kiss is like a key that unlocks the sleep and brings her back to the world.
The original story has it that Sleeping Beauty wakes up due to a prince's kiss. This simple act of true love ends the curse and brings her back to life.
In the light novel, Rem does wake up. This is an important part of the story as it has significant implications for the other characters and the overall plot progression. Her waking up is not a random event but is carefully woven into the narrative, affecting relationships and future events in the story world.
Well, usually in manga, a broken engagement makes the characters take a hard look at themselves. It could cause them to become more independent or learn important life lessons. Sometimes, it even sets them on a new path with unexpected adventures and challenges.