I don't know about all this. I do know one thing. When you use minlogon, it uses the System account, but I have no idea where that profile exists or if it even exists.
I guess you could just play around with copying your profile over the "Default User" profile, or even the "All Users" profile. Probably would want to back them up first.
EDIT: From the little bit of research I've just done on it, minlogon by default does not save settings or changes to the profile. I did come across something that said changing a registry key will take care of that, but I still have yet to find which reg entry will have to change. Hope that helps a little at least.
Also, someone else tried to copy their profile over the "default user" and it didn't work.