It's already back to factory settings, it's the network test within the initial setup I'm having trouble with. I did find something interesting though. I saw a tech article claiming that you could only have one Xbox per network, per connection type regardless of iteration. Now it didn't specify across the iterations of Xbox One/S/X OR, if the 360 is also counted for that. Basically since I connect my 360 via a wired connection I can't connect the One using that same method. Even though there is a supposed hardware malfunction within the One keeping me from connecting with wifi. It sounds sketchy to me, but knowing Microsoft I wouldn't put it past them. Since wireless issues are apparently an extremely common occurrence with this thing.
The actual wifi module is easy enough to buy and change. It's right on top when you pop open the console. I have reservations about buying one though. Since I have read more than just a handful of accounts of folks doing just that and it still not working.
At this point some blunt force maintenance across the concrete slab in from of my house isn't entirely out of the question.