Retired player Brendan Haywood, whose final season was with the Cleveland Cavaliers in 2014-15, posted the video on Instagram on Sunday, with a message saying "shots fired at somebody'' and #kingwontlikethis.
The video was interpreted by many as Curry mocking James' own dance video, with Cavaliers guard Kyrie Irving -- who recently requested a trade -- among those cheering on Curry.
"I've been watching [the James] video twice a day since it happened because it's my favorite video in the entire world," Curry told The Athletic. "He made a song popular by making a video. And that lives. So now every time I hear that song, that's all I think about.
"And I've been doing that dance because of him, at my house, at dinner. When something good happens, I pull that out because I like it, and it makes me laugh, and it makes me happy. Not making fun of him."
Curry added that Irving's presence was "a casualty of the moment."
The Associated Press contributed to this report.
Stephen A.: Curry needs no reason to justify video
Stephen A. Smith explains that Stephen Curry doesn't need to justify the video of him mocking LeBron James, because he's the reigning NBA champion at the expense of LeBron.