There MIGHT be a way of synthesizing it. Hexagon saves a tremendous amount of session data and parameters when you save a file as an HXN.
This is a completely untested idea by me, but it might be worth experimenting with:
Without loading any models, open hexagon and set it up the way you’d like to have as a default setup. Then save this setup as an HXN file called “empty” or “default” or whatever and zip it up or store it in a safe place.
After that, you could make a copy of that HXN and rename it to a new project name and open hexagon with it.
In theory, anyway…