Ya know, rarely any of the seasons included either in the transformation phrase or whatever they represent. The reason why this video was the shortest due to being low usage.
If a Cure name was dropped before the introduction, this actually gives spoilers to the audience, as they're supposed to keep watching to find out the name of their alter-ego, especially the first time they're transforming. It's not like they're giving them away, it's that the name is actually a pun of what their theme is.
1: The Smile Pact gave initial support as if you're cheering, but not by civilian name. As the series revolves around five as a whole
2: For Magic User, the phrase suggests that something fundamental is the key to believe in magic. Felice, is the spark to grow, hence the name.
3: For Sparkling A La Mode, not a thing, but each sweet they represent
4: For Soaring Sky, well, this is just to go through the pattern of the sequence in order, but when these names are bold, loud spoken, this indicates their pride and prejustice in heroism, hence their names in the pose near the end