Strangely enough, I didn't even notice the 360 tag on that link and this patch still worked (it could be that the 360/One updates are bundled together)?
I'm just saying...how does one normally update the Xbox One? I spent a good 20 minutes trying to tweak the One into downloading the latest and greatest, pre-Titanfall patch as was posted last Wednesday, but nothing was working. Then another 20 minutes trying to search google for answers. I ended up downloading something off of the Xbox website which somehow worked (even though it shouldn't, since I was on the wrong page).
Whatever the case, the OS is now updated to that latest version (6.2.10698.0), it just seemed like I had to go through more hoops to get it than required.