There has been debate on the internet on what the Orange Justice dance was based on.
Many say it was a dance done by Roy Purdy, who did so for the #BoogieDown challenge, when people make their own dances while Epic Games decides which dance to add.
Others say that a kid who calls himself the Orange Shirt Kid was inspired to create this dance, despite this dance being less accurate. However, the name of the dance and the description looks like they are dedicated to this kid.
"Orange Justice" may refer to the kid's appearance. After dancing, he says that the dance is also a "great exercise move", which is also the description of the orange justice emote.