You’ve got remember the Civil War generation was not very far removed from the Revolution. The South foresaw the onset of a strong centralized govt......just like the one they had fought a generation ago.
The view from a large part of the South was....”We just fought against a strong govt....telling us what to do, taxing us, etc.....and now we are setting up the same thing....no thanks”
Anyway, that is the way it was taught to me.
You were taught correctly and I teach mine the same way. Battle flag is all that flies here from now on.