Awesome links! I'll try to dive on both, a little at least. I think it is safe to say both sports should continue to get the attention they are getting with regards to safety. Hopefully they follow up on that more.

I'm curious on how the data works by position. Thinking on it for a moment, I'd expect risk of injury for most positions in American Football is low. Such that, for the entire sport, this data actually does make a lot of sense. However, it is also easy to see that positions like quarterback are far more likely to get certain kinds of injuries. To the credit of the league, many of the more severe injuries that we saw years ago would be illegal hits in today's game.

Again, this data does make sense. And I think it is safe to say that rugby is almost certainly more dangerous.