Interesting.
I have shot very few deer at what I would consider to be LR. A lot of targets, but not much live. One I remember well was a Red Stag at 320 yds. A Switch that needed shooting and the dead ground meant I couldn't get any closer. Not a breath of wind so took the shot. 120 grain Nosler BT, marginally less fragmenting than the Amax, from a 6.5 Lapua hit him in the crease behind the front leg, 1/3 of the way up the chest, in the right spot, just behind the heart, a good killing shot.
I worked out later that it was carrying about 1400 ftlb of energy on impact.
He ran a couple of hundred meters and stopped, wobbled for a minute or so, lay down and took so long to expire I stalked in again and finished him with a second shot.
200 yd shots have never been an issue at about 1750 ftlb terminal energy. Since then I have always used something that will deliver at least 1750 ftlb at 300 yds when on the hill as I know that if I do want to take a longer shot I have a gun that will do the job. Hence questioning 1100 ftlb at 200 yds being sufficient.
Perhaps I jumped to the wrong conclusion following that experience and it was just an unlucky strike or particularly hard Stag.