Nothing about that deer looks old, no sway back at all.
I definitely would not shoot him just to cull him out, but I would if you would be happy with him as is. I shot a monster last year, by far the best one I've ever gotten, and may ever get. He was a basic main frame 8 that grossed near 170. I found his sheds from the year before, and he put on 3+ inches of width and a lot of mass. I'm now a believer in letting them hit 4.5 or older. You never know what that last year or two will do for him. They tell me patience is a virtue........