Regarding game engines, the empirical evidence shows that Bevy has been moving at least as fast as, if not faster than†, comparable C++ engines. I listed all the features I landed in the past year here: https://news.ycombinator.com/item?id=42945730
We love to argue on message boards about theoretical or anecdotal productivity of programming languages, but at the end of the day the only thing that matters is what people have actually been doing with the language, and for Rust the answer is "quite a lot, actually".
†In my view, Bevy has been moving significantly faster than comparable C++ engines, but I don't need to argue that to make my point.