As Elsa and Lucius are from different series, they have never met in canon. As well as the fact that Lucius is also a Pixar character.
Both Elsa and Frozone (Lucius's superhero title) are users of ice-related powers, through their hands and have used their abilities to run across a large body of water, as well as using them for other people than just for themselves. To keep innocent people safe from villains and to bring the magical joys of winter. The two also wear blue colored clothing, that are seen as their sigher clothes. Just as "Frozone" is Lucius's superhero title, the title of Elsa's Disney film is "Frozen".
Similarities and comparisons
- Are two of the playable characters in Disney crossover games, like Disney INFINITY, Disney Emoji Blitz, Disney Magic Kingdoms and Disney Heroes: Battle Mode.
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Elsa and Frozone are two of the main members in the Secret of the Incredible Frozen Guardians crossover fandom, with Jack Frost from Rise of the Guardians and Periwinkle from Disney's Fairies. As well as them being apart of the expanded ice character fandom, Just-Ice League, where Mr. Freeze from DC Comics, Iceman and Loki from the Marvel Marvel Cinematic Universe, The Ice King from Adventure Time and Jack are all seen as Frozone's love rivals for Elsa's affections.
In some Superhero AUs of The Incredibles universe, Elsa is commonly seen as Frozone while he is portrayed as her in a Frozen AU.