Good lord - so much anxiety! Yak yak yak yak yak
You want to really increase "play"? Here are some concrete tips:
Reduce the amount of teaching to the test in schools. Return art, music, gym class and recess. Put decent play structures up at the schools or at least buy some decent balls.
Make parks accessible to local pedestrians. My local parks are all at least a mile away (I live in a residential suburban neighborhood). Two require walking down a street where cars regularly go 55-70 mph (posted speed limit is 45). There is no median separating cars from peds - and the cars regularly go over the curb. The other park doesn't have a restroom. That's just unrealistic for anyone with young kids.
SLOW DOWN! People regularly drive 35mph past my house. They don't look both ways when they take turns. I saw a guy almost hit a delivery truck the size of a one-car garage because he didn't look where he was going. It'd be suicide to send a kid out there on a bike.
Ah,but these things cost money and inconvenience people. It's so much easier to Yak yak yak yak yak