Literally just joined to say the same thing
As it currently stands, for me at least, the answer is No.
I’ve installed the Big Sur Beta on my iMac - loving the new OS and timemachine to the My Cloud Home is still possible, but access to the private share side is not. The WD Discovery app installs, and runs, and I can enter my login details for my account, but when I click the drive under the Storage tab, nothing happens (whereas it used to mount the drive as a volume in the Mac).
I’ve tried explaining this to WD Support, but I’ve just been told to install the WD Discovery app each time, which is obviously what I already have installed and uninstalled and reinstalled etc.
Hopefully they’ll get it sorted soon… I’d hate for my drive to just become obsolete when it’s not even a year old yet