Implications would be that future generations of people would have a functional planet to live on.
Stallman is making the argument that it's acceptable to not have kids for very good reasons, and that many people might be better off not having kids. He is definitely not saaying everyone should stop having kids.
I think all too often people who will turn out to be horrible parents are pressured into having kids. Not everyone should have kids.
He addressed that: "I don't wish that nobody had any children; I don't want humanity to disappear. But there is no risk of that; for the numbers I could hope to influence, the influence is for the good."
"Implications to humanity?" There's no humanity if people don't reproduce. It's that simple