tbf, I was given a pretty thorough explanation of the issue and unfortunately it's not something that the people issuing the registrations have much control over, so not the fault of the Toyota Online team we walk to. They are at the mercy of Toyota Europe who need to provide the data and that's not happening. As I said though, it sounds like at least the issue is being treated as a priority. I imagine it's pretty embarrassing for them as it's affecting lots of vehicles.
On the plus side, if the issue goes on for several days, then the drive away insurance certificate can be reissued.