I second Trusty's reply. There are dozens of "simulators" out there that are basically jokes.
I will list a few off for you:
Construction Simulator 2015
Ski Region Simulator 2012
Ship Simulator 2006
Grass Simulator
ect.
More serious simulator games include the Train Simulator series, Euro/American Truck Simulator, and Farming Simulator 2013/2015.
While War of Rights definitely is a hardcore game that attempts to be as realistic as possible, it doesn't really line up with the "simulators" above. It is a game. Calling it a simulator would be like calling Red Orchestra 2 a simulator or Verdun a simulator.
In my opinion, to call it a simulator, it would need to line up all aspects of military life with how it was in 1862.
Really, it doesn't do that. It gives us the combat, and that's about it. Any more, and it would be more like a roleplaying game rather than a simulator.