no, if you start again, from the same save, you have +1 session.I wrote a little python script that logs saving and loading into an encrypted file. I hope it'll be a little bit better than the session counter because I suspect the game, that you can load the same savegame how many times you want and still it will be counted as +1 session.
I have a few replays with session 1, 2, 3 and 4 occur before any move is done
