It's debatable whether or not a good pair of running shoes have a significant impact on your safety or abilities . All my friends moved on and train in expensive running shoes while I'm still rocking my cheap-o skate shoes.
I'm seriously expecting to be one of the few that aren't wearing actual running shoes at the jam. Last jam I was at, I got lectured on the dangers of wearing skate shoes to freerun.
Is it really a safety concern? I've never had any problems so far. The arguement usually is the lack of grip or how lose skate shoes typically are.
You don't need "running shoes" but your skate shoes are an awful choice.
Skate shoes provide almost no support and will move under your foot.
This sport is about control. Get a pair of well fitting running shoes, freerunning shoes, crosstrainers or even basketball shoes would be better. Skates shoes have to go but no "special shoe: is necessary.
Hell, go barefoot, its cheaper.