I have resolved these issues by rolling back 2.01.86; I am reporting them here in case others have the same issue and wonder why.
I have three WD TV Live boxes, reading video files from a central file repository shared using both NFS and AFP (Linux and Mac, as the WD TV Live box calls them). My usual setup is to use NFS, because that is what I got working first however many years ago.
video playback would stop with the spinning circle graphic, as if they were buffering. This happened with all video formats, sizes, qualities, and wrappers. Sometimes the spinning circle never went away. Videos were also slow to begin playing. I don’t know if it was network performance that was impacted, or video decoding performance, or something else - but they worked fine for years before 2.02.32, and worked fine after rolling back to 2.01.86.
Linux NFS shares were no longer detected in 2.02.32. Existing shares set up for access worked, but once it randomly lost that connection, they could not be re-added. The same central file server shares the same folders using both AFP and NFS; the former worked, the latter did not. (Video playback had problems with both AFP and NFS).
Services would force the entire box to reboot; the YouTube service is what we use most often, and it got to a point where we could no longer launch the app without it rebooting the WD box.
I see many others on here reporting bugs with 2.02.32; I imagine for some use cases it works fine, and it has some features I really liked, but playing videos is the whole reason I own three of these, so it will be a long time before I upgrade this firmware!