https://www.irishtimes.com/news/ireland/irish-news/one-seaso...
Most of the contact in aussie rules is tackling from behind, whereas in gridiron on every play you have around nine guys smashing into each other just as the quarterback receives the ball... and then all the additional contact depending on the play, including tackling like in aussie rules.
https://www.youtube.com/watch?v=W7tGY-VDx3o
Don't have much commentary on the subject and just wanted to share the vid. I'd only think that a difference like that can't really be resolved to padding.
A rugby union player has to run around the pitch for 2 bouts of 40 minutes [about 40 minutes of 'ball in play' time]. According to this article - https://qz.com/150577/an-average-nfl-game-more-than-100-comm... - the average NFL match is 11 minutes of action, in [average] 4s bursts, over a 3+ hour period. Many NFL positions can optimise for muscle mass without worrying about stamina and sustained speed.
FWIW the measured tackle and at least one footage tackle [8mins 26s] in your linked video - https://youtu.be/TSc_Gxq1two - look illegal to me, lifting a player and pushing them down with head/shoulders first towards the ground (spearing, https://en.wikipedia.org/wiki/Spear_tackle) is a red-card offence.
Not just mass. What I often hear NFL athletes and trainers talk about maximizing "explosion" in their movements.
It may be harder to detect chronic brain trauma in that population.
And yet, rubgy and Australian football have just as much contact and do not suffer from an endemic injury problem.
Maybe something related to the padding?