There are most certainly paedophiles around. I don't think anyone is saying they do not exist. Clearly they do. And yes, they go out in public and yes, they will watch children. And yes, this is deeply uncomfortable and disturbing.
However, what is the risk to a toddler of being with their parent, in a park, playing in a fountain, parent right there, a few feet away? It is unheard of for a paedophile to jump the wall, elbow the adults out of the way, throw a toddler over their shoulder and leg it out of the park with them, with the child's watchful parent chasing after them. The worst you could reasonably be say to be true is that there may be someone in the park who watches. Risk to the child from eyes? Zero.
The far more common risk from a paedophile comes when your parents let them babysit for you. When your dad says don't be rude, sit on uncle tom's knee and your mum says don't be shy, give my friend a hug and tells you off for not wanting to and your parent's friend convinces them they are someone they can trust with you.
Or it's your mum's brother or your dad's cousin. Or it's actually your dad. Who comes into your bedroom at night when your mum's asleep. Or maybe she's not. Maybe she closes her eyes and ears because there are none so blind, as they say.
That's where the danger is. In the home. In the family. In the circle of friends. To a lesser extent in the clubs and groups. But the daily mail isn't saying omg there's a paedophile in every family! Watch out for grandad at the christmas party! Don't let uncle matt tuck little daisy in...
No, it's all perverts in bushes. And not out of a genuine desire to raise awareness but with a disturbing salacious undertone.
If people were more aware of the risk from family and friends, instead of getting het up about the man in the park who sits on a bench and watches the kids on the swings, perhaps fewer children would be abused.