- Hans not appearing in this short like in "Frozen Fever" is fitting when you tie in with "Coco's" theme about remembering: he's been nearly forgotten.
- True to the Rule of Symbolism, whenever Elsa uses her ice powers by taking one step, it represents something monumental happening because of one small thing (freezing the fjord causing eternal winter, building the foundations of her castle, ect.). So when she uses her powers to create an ice Christmas tree, it represents how one small thing (Olaf) created a new tradition in Arendelle.
- One of the traditions that Olaf collects looks like the Gävle Goat, which is famous for being burned down each year by arson. How does the sleigh catch fire? When a coal from the sauna lands in a pile of Gävle Goats.
- In many ways, Elsa's impromptu party at the end is the exact opposite of the surprise party at the beginning. Its outside rather than inside; in the night rather than the day; impromptu rather than planned; it embraces everyones traditions rather than competing with them; and it features the whole town actively seeking Olaf, rather than Olaf imploring everyone to stop leaving.
- Speaking of opposites, Elsas stomp to create the ice tree is the same move she used to build her ice palace in "Let It Go," but with opposite intent. That palace was all about keeping her isolated, whereas the tree is about bringing everyone together.
- Olaf says he is visiting every house in Arendelle, but he doesnt visit the ice palace where Marshmallow lives. Considering Olaf and Marshmallow were brought to life within a day of each other, Olaf probably realised that his brother wouldn't have any traditions yet either, since it's his first Christmas too.
- Because Olaf symbolizes Anna and Elsas connection, its no surprise that Elsa slamming the door in Annas face his symbolic opposite upsets him and spurs him to action. It also explains why, when Olaf knocks at the first house, he uses the same shave-and-a-haircut knock that Anna used on Elsas door in Do You Want to Build a Snowman? On top of that, it shows in Olaf's contribution to the Yule Bell ringing, where he pulls down on the end of the rope, just like Elsa did back in the day.
- Olaf's flurry being missing even when he's indoors, despite one scene indicating that he doesn't have his permafrost yet and is still susceptible to melting. Elsa's powers are constantly growing, and they could have reached a point by now that he's heat-resistant enough to withstand the temperature of a the average Arendellian home (or the castle) in the winter, but not yet enough to withstand all heat.
Fridge / Olaf's Frozen Adventure