I have a Bighorn TL3, and would strongly echo the sentiment that the Origin is a better choice than the Remington. The CRF and floating bolt head set up is much smoother than a 700 and you will wonder why you held onto the latter for so long. As others have mentioned, it has a mechanical ejector, and doesn't suffer from the same issues I experienced with my 700 not actually kicking out brass but. The origin comes with the pinned top rail, and won't have manufacturing defects like poorly brazed and hollow bolt handles, and general lack of fit an finish. The ability to use pre-fit barrels like Proof is also extremely handy. I purchased one myself, had my gunsmith torque it on, and everything was in spec so I walked out the door in about 10 minutes.
I have been extremely happy overall with this combination and is both smoother and more accurate than my friends AI.
For those who have mentioned the Defiance actions, I have heard that the specs and tolerances on them can be a bit tight for a field gun if they run into some dirt, but have zero personal experience to back up that claim. For a hunting gun that is going to get thrashed and dirty, I would lean towards the Origin.