I like the motion variation of Chun better. And those are the incarnations where she’s actually top tier. Not saying there’s a direct connection there, because it might be incidental, but it’s worth considering.
But to answer your question, I think Chun is just one of those characters that doesn’t really have a super iconic moveset. Guile without Sonic Boom and Flash Kick isn’t Guile, and Shotos are defined by their moveset. As long as Chun has lightning legs and thick thighs, she’s still Chun. She’s kind of like Dictator or Claw in that regard. She’s more defined by her visuals and general fighting style rather than specific iconic moves or inputs.