While Kris Moreno is addressing the crowd at Santapolis, a spectator yells "you look fluffy!" The character of Kris "Kringle" Moreno is played by Gabriel Iglesias who is known for his stand-up comedy routines in which he refers to himself as "Fluffy".
During Noel's checkup with the Elf Doctor it is mentioned that if an Elf gets too stressed out they could explode. This condition is referred to as "Curtis-itis." This confirms that Curtis, Spencer Breslin's character from The Santa Clause 2 (2002) and The Santa Clause 3 (2006), is not seen in The Santa Clauses (2022) because he became too stressed as Head Elf and exploded.
The cup given to Sandman with Warm Milk written on it is written in the Got Milk font.