When I started SPI, the name, Simulations Publications, was chosen to represent an accurate description of what we were doing, and what we felt wargamers wanted. What we were creating weren't wargames, they were simulations. We called them wargames, and let other call them wargames, an incorrect term for an activity that was incomprehensible enough as it was. It wasn't worth the effort to expunge inaccurate terms, although we tried. But the labels issue was small change compared to the emergence of analytic history.
Analytic history is what a wargame was before it became a game.
A wargame is, after all, an historical account of an event in simulation form. The subject must be researched and the data organized so that it can be presented in a simulation format. That's analytic history. Often there's not a lot of difference at all. The main purpose of a simulation is to present the situation so that you can manipulate the key elements.