Change everyone to Read and write.
This is best done within Lightroom itself, so that the catalog is maintained accurately.
There are many many threads that indicate the opposite is true, that you should move the photos using your operating system and then reconnect inside of Lightroom. The integrity of the catalog is correct either way. The drawback to moving lots of images inside of Lightroom is a nasty bug that affects some people ...
I know that I can move the folders/files from within Finder, and then find folder from within Lightroom agin, but I shouldn't need to do that.
If you value your photos, then don't move them within Lightroom, especially when a NAS is involved. Fastest and safest approach is to move them outside of Lightroom using Finder then reconnect them. If you maintain original folder/subfolder structure you should have no issues reconnecting.