Hi Bruce,
Thanks for responding. Yes, I'm on the newest version of Big Sur, 11.3.1.
I wish it were that simple. My Security & Privacy preferences show 2 appropriate folders: "Full Disk Access" and "Files and Folders."
Both Affinity Designer and Affinity Photo appear in Full Disk Access. Both are checked.
Both also appear in Files and Folders, but they're grayed out. Beneath each is the notation "Full Disk Access," which leads me to believe that this is just a reference to the other folder.
Although I find it odd that AD can't open its own files, in fact it can't seem to open anything. I've tried .eps, .ai, .jpg, .webp, .png, and .tif and get the same "Permission Was Denied" error. For .svg and .psd files I get a "File Not Found" error, which is puzzling because I'm finding the files by clicking on them and because they open in other programs. I have opened .afdesign files in Affinity Photo. It's only Affinity Designer that balks.
It's as if AD were somehow corrupted. But after first seeing the problem, I downloaded and installed a fresh copy. No change.
Any other suggestions?