It doesn't. I finally got the installer to launch, but then ran into additional errors. I even bought a license to CodeWeavers CrossOver and opened a support ticket with them. They weren't able to get it working either.
My church finally went with Big Screen (
https://bigscreen.show/). It did what we wanted that I initially thought only ProPresenter supported (different templates to different outputs, e.g. we want the lyrics in the center on a motion background for the main projector but on the bottom with a green background that can be keyed out to the video switcher for the livestream). It's cloud-based and runs in a browser, so it works on Linux without the need for Wine. We haven't run into any performance issues with it being cloud-based yet, and we're able to continue using Linux.