I moved the SW-8 next to the EE8. So the SW-8 is connected to the Apple TV at the front end of the long ethernet cable vs. the back end. I also left the computer unconnected- it doesn’t need an ethernet cable anyway. The TV picture streaming looks the same as when the SW-8 was at the back end of the long Ethernet cable and next to the Apple TV.
The EE8 now has one short connection coming from the SW-8 and one connection to my music server. It will be a couple of days before I listen to my stereo system. I shut the stereo down last night so I can get some yard work done the next couple of days.