It's events like this that make you truly appreciate how insanely good Brady is at taking a hit. I hate seeing him get hit but it's almost just as entertaining to see how professionally he takes it.
Doesn't go down before it's necessary, but at the last second will go with the tackle and always makes sure to slightly curl his back to allow a roll off of the energy from the tackle, it's a thing of beauty. Curls up just at the right time to protect shoulders and arms. The more opportunity you give yourself to go with the momentum of the tackle, the less chance of an injury.
Contrast this with putting your arm out like Rodgers did, where you have an immediate change of direction of the energy, in an acute area, forcing all the pressure to a point rather than rolling it out. The most apparent example of this is when a WR gets hit changing directions after going over the middle, a QB from behind once he's already planted for a throw, or an RB stutter stepping and someone clipping him other than his juked defender.
Sorry for lack of terminology, but it's a thing to watch haha.
Edit: Brady takes hits like a parkour expert rolls out of very high drops.