So basically only a game like chess is a strategy game for u. As anything where u can create more units is a number going up.
Nah, chess is a closed game with forced symmetry -- it's a lot simpler than what I expect from a GSG.
I'd expect a GSG to have a superior level of strategy, but not force symmetry nor be closed.
Reversi would be closer, since you can "conquer" and keep territory, but also too simple.