OK, test results are as follows (from a Windows 10 PC):
2.82.0 - Working, some visual bugs
2.83.0 - Working, some visual bugs
2.90.1 - Working
2.91.0 - Working
2.91.2 - Working
2.92.0 Beta - Crash on Startup
2.93.0 Alpha - Crash on Startup
My current working theory is that App Templates may be dependent on the folder structure that comes from installing Blender to your system, rather than just downloading and running the app.
The versions that download as an .msi, and install, update components etc. all seem to work, but the experimental releases (beta and alpha) that come as a folder, and allow you to run Blender without installation, are the ones that are giving issues.