If you read my post, it ends with "...and it's likely some will see a software failure this weekend" - of course a properly-coded GPS device will be fine but the likelihood of the many thousands of different types of GPS devices out there all gracefully handling an event that happens once every two decades is basically zero.
The satellite position updates use essentially the same time format as the rest of GPS, as I understand it. So the problem comes when some GPS receivers try and use the latest information but base their calculations on an erroneous belief it's now 1024 weeks into the past, causing them to fail to find satellites.