Competition for White was the Shorty George Snowden Trio, who most of the dancers followed at the time... as his group was the first performance group in Lindy Hop.
The Hoppers would go on to dominate the Lindy Hop scene in contests and exhibition's for quite a few years to come with even Shorty George working with them from time to time. The Lindy hoppers incorporated the Flash Acts or "Acrobatics" called Air-Steps into many of their routines. These acrobatics were being performed by many dance stars previous to the Lindy Hoppers for over 30 years prior, especially the Russian based vaudeville dancers of the day, although Frankie Manning claims to have invented them, he only helped introduce them into the Lindy Hop along with legendary dancers Leon James and Al Minns ( Who were the kings until they passed away) and Shorty Snowden.
There are some negative stories about Whitey and his 'Strongmen' and the ethics he used to get dancers to dance on his team from intimidation to strong arming and even murder among rival "Gangs," how true these stories are today are anyone's guess ( But there are a few newspaper pieces that lend some credence.) Marshall Sterns book entitled Jazz dance gives a good view of some of this. However, historically, this was to change the Lindy dance itself over time and the dance scene for the better over history. The Whitey's Lindy Hoppers did more for Lindy Hop than any other group in the world, ever.
There were a few sub groups that would dance when the main group was booked elsewhere, such as the 'Hopping Maniacs, The Congeroo Dancers, Harlem Maniacs, The Congeroo's, Savoy Lindy Hoppers, White's Steppers, The Big Appler's, The Big Apple Dancers, etc. Two of the best WLH Lindy scenes are in the movies: 'Day At The Races' with the Marx Brothers and Olsen and Johnson's 'Hellzapoppin'. The Lindy Hoppers also danced in a few Broadway musicals such as the "Hot Mikado" with Bojangles, Black Rhythm  and the 1938 show at the Cotton Club Called the 'Cotton Club Revue' with Cab Calloway leading the number called "A Lesson in Jive" - in which Whyte's Lindy Hoppers danced in this show and the Boogie Woogie was said to be introduced in the show as well.