Today Nikon announced new firmware 1.11 for the ZR, which addresses two issues that needed fixing. But Nikon also announced a Technical Service Advisory for certain Z5II, Z6III, and ZR cameras.
Not all Z5II, Z6III, or ZR cameras have the issue, which can cause the camera to stop operating (which would tend to imply that it is a part in the power supply or digital board that's common to these three cameras that's the issue). Note that in Japan, only Z5II and ZR cameras were impacted, but here in the US the Z6III was also affected. In other words, distribution of the products with the defective part was not made to all countries, so if you're reading this outside the US, be sure to check your local Nikon subsidiaries support pages for more precise information about your camera.
Here in the US, go to NikonUSA's site and enter your serial number to see if your camera is affected by the advisory. This appears to work for both official US imports as well as gray market. If your camera has the defective part, you'll be led to a form to fill out, and Nikon will cover the cost of shipping and repair, sending you a shipping label for the return to NikonUSA. The actual recall and repairs will begin on March 23rd (probably due to need for new parts to get to repair facilities).
This type of advisory is actually fairly typical of Nikon's on-going product examination. Nikon monitors all repairs for parts failures, and when they find one, they trace this back into the production supply chain and determine which batch of parts were used in which cameras. While Nikon doesn't speak about it publicly, I believe that they have agreements with their parts suppliers that cover this type of mass recall, and Nikon has been very good in the past about trying to do this with as little disruption to the customer as possible. Indeed, Nikon is one of the few electronics companies I know that has a clear system of determining when parts failures might be happening as well as providing a consistent approach to letting customers know how to get free repairs.
As far as I can tell, this was a fairly limited batch of cameras that had the problematic part, and were all manufactured in the same month. None of my copies were affected, so I won't be able to directly report the results of a repair.
Meanwhile, Nikon Tether just updated to version 2.5.0, with one small change to how it shows video frame rates, plus certification for macOS Tahoe. Tether is now only officially supported on the same three macOS versions Apple directly supports (Sonoma, Sequoia, and Tahoe).