I will fully agree that most people will decide that the pros outweigh the cons here.
Minimal maintenance
Fewer games affected by weather
Pays for itself over time (?) I doubt that but I'm sure they tell you that.
I have two big problems with it.
1. Most parks now tell you no metal cleats allowed. I don't want to buy my kid two pairs of cleats every year. And turfs slip way too much on this surface.
2. More importantly to me...I believe Field Turf creates lazy fielders, especially infielders. I am tired of watching fielders at all levels, youth to D1 college, sitting back with their glove on the ground, waiting for that ground ball to roll right into their glove.
A. Even on turf, there are still opportunities to get a bad hop. And if you're not coming to get the ball and creating your own hops, you won't be ready for it.
B. Wait, wait, wait for the ball. Field it. Look up and the runner is almost there. He either beats the throw or you throw it away rushing.
This is neither a scientific nor an overly-analytical opinion. It's just what I think after watching 100s of games on the stuff.