Now I am not a coach anymore so I can not take that credibility, however I used to coach at UA and I can explain part of the connection.
Gymtyme and UA have always had close connections and had a good relationship. Several UA athletes every year move down to U of L for college and cheer at Gymtyme.
Speed Camp (named after James Speed) has been held at UA for many years. The Speed Camp staff also primarily consists of current and former UA and Gymtyme members.
Most of the staff for Gymtyme IL used to cheer for the U of L/Gymtyme. One of the new owners of Gymtyme IL (Craig from UA North) used to cheer for the U of L. Also Demo and Tarryn who currently run UA South cheered for U of L and Gymtyme for years. Same with some of the coaches, including one who used to coach Gymtyme Platinum, UA Prodigy, and ICE LL. Not to mention that Wes Haley (that you all see on Cheer: Full Out) is going to play a major part in the running of this program.
To sum it all up, almost all of the staff of Gymtyme Illinois used to cheer for James Speed and has very close ties with them...so they definitely are familiar with the Gymtyme name and culture.