Install to Windows pcs, several confusing issues

Yeah, they both take the approach of starting when a user logs in, and run as that user. This avoids a number of potentially serious security issues.

It is possible to run Syncthing as a true service, see this documentation. Also read the big warning at the beginning of that section!

Somewhere on the forum there are a couple of installers which set up NSSM in that way, e.g. this one.