Another angle to consider is what would happen if the 74th Hunger Games, featuring KatnissFromDistrict12, had used the Strictly studio as the Arena?
I'm not sure Cato would have been so cocky then, particularly if Craig had been replaced by a swarm of trackerjacker wasps. I'm pretty sure his "career" training wouldn't have covered the Rhumba, and I think he'd be in the Dance Off for that, even if partnered by Glimmer.
Rather than luring Tributes back to the Cornucopia to obtain crucial supplies to liven up the action, the Cornucopia could be stocked with cute children, wedding plans, injuries and the odd batty grandmother to achieve the same effect. Strictly contestants will do literally anything to gain a few phone votes, so I'm sure even Katniss would undertake an amazing journey to the Cornucopia to bag some vote-winning kids!
The possibilities are almost endless.