No, Katniss is the official Mockingjay, Rue inspired the revolution, but Prim started it. If Prim hadn't gotten picked Katniss wouldn't have volunteered then she wouldnt have met Rue who sparked the Mockingjay.
So sorry about the language. If people cheered for Clove's death, they don't get the point of the Hunger Games books. It's not about Katniss versus the other tributes, and it's terrifying to think society today looks at the Games as the Capitol did.