A recent version of Resolve added support for Template bundles. So instead of the templates being loose files in a folder structure, they can now be grouped together in a DRFX bundle, which is what you're seeing there - Templates.DRFX
A DRFX file is just a renamed ZIP file.
So, if you want to access individual files within the bundle:
- Copy that DRFX to some accessible location, eg Documents.
- Rename the copy to change its extension to ZIP.
- Unzip it.
- You now have all the folders and files in the structure you're used to, and can use some as the basis for your own templates if you want.
Steps 1 and 2 are likely optional - if you open an archiver like WinRar and drag in Templates.DRFX, it should recognise it as a ZIP file and give you the option to extract it.
You could if you wanted remove the Templates.drfx and replace it with the unzipped contents, which would allow editing existing templates in-place. I wouldn't recommend that though - better to leave the DRFX in place and make a new version of whatever template you want under a new name, which you'd put in your specific user folder like you showed in your second screenshot.
For more details on template bundles, see this video (template bundles are talked about from 14:48):