I started reading your post, Chipping, and really did think that you were the looniest of the loons choosing to go to soft play on your own!!
I asked dh about this, being a man and all, and he said that of course it depends on the place, but probably a paedophile is not going to want to queue up and pay the entrance fee to somewhere like an amusement park when if someone that way inclined wanted to observe children they could go to a municipal park or a beach for free.
(Btw those who put Disney parks in the same bracket should be dunked in a vat of cold sick. They have no idea .)