You mentioned that your surprised at the level of play still there. Can we assume you had a lot of play before all these components were replaced? Is it worse, better or no different? The amount of steering slop shown in your video is totally unacceptable.
Almost all suspension components can cause excessive play if worn enough. You may have multiple worn components. It’s a two person job to isolate the problem. One person wiggles the free play in the wheel while the other looks for the cause, the engine doesn’t have to be running. It could be a worn rag joint, steering gear box, pitman arm, idler arm or tie rod end. It should be easy to see the and isolate the worn part.
Non steering steering suspension parts like lower ball joints or control arm bushings could contribute to the problem.