A quick update on my defective PS4:
I brought it into the Sony Store yesterday, where they said it would be 2-4 days for a replacement. This morning, they called me and told me that they got a few refurbished units in and it would be first come, first served among those who needed a replacement, so I came in right away.
They ended up going through three refurbished units before they found one that didn't have the Blue Light of Death. The good news is that for now, I have a working PS4 just over 24 hours after bringing my broken one into the Sony Store, but it does concern me that even the refurbished units (which were sealed until they tested them in front of me) are having problems, too. (And I'm really glad I didn't send mine in. I would have been furious if the replacement came in defective after waiting 2-3 weeks for it.)