macOS Catalina has a new feature to further isolate the OS from data. In the APFS container it is installed within, an APFS volume for the OS is created alongside an APFS volume for your data. The former is mounted read-only at the root of the filesystem, and the latter is mounted within /System/Volumes.
Directories containing writable data are linked from ...
This might be helpful if you give a try:
Add your username in the Name column
Select the Desktop folder from Finder and Press cmd+I.
Click the lock icon to unlock it.
Enter an administrator name and password
In the Sharing & Permissions section, do the following:
a. Click the Add button + below the list, select your username then click select.
These savedState resources are used by macOS to support "resuming" applications:
One of the new features in OS X Lion and OS X Mountain Lion is the “Resume” ability for all applications to save their last state, meaning when you relaunch the app or reboot your Mac, the application will “resume” and reopen again showing all of the windows and data that was ...