Sandboxing (snap or flatpack) is more fragile than running the application in a GUI container. If you do not grant a permission, the application will fail. You will get to know about these issues from bug reports.

With a GUI LXD container, you can set up Wine as best as possible, then take a snapshot of the container in its pristine condition. Then, you can install Windows programs in the same container, or clone the original container and install each in a separate container. Each action takes only a few seconds compared to what you would get with Virtualbox.