I don't really claim any team, but when I do lean toward Chelsea. I've mentioned this a few times on this forum.
They weren't real games, which is why they don't play by real rules. There is no 3 man substitution limit.
You found the only link that shows them listed as "real" competition games. Pretty much everywhere else you will see those games listed as a pre-season friendly. Even the main guy who puts it together, Charlie Stillitano refers to it as a pre-season tourney.
http://www.sportspromedia.com/quick...w_to_organise_a_pre_season_soccer_tournament/
If you are going to count those games, then you have to count Man City's games in the Premier League Asia Trophy(2 wins) and the Audi Cup(1 win). I won't count those wins for the Citizens just like I won't count those wins for the Blues on U.S. soil. I wouldn't count pre-season games for the Cowboys toward their yearly total, either.
Plus I never said definitively that Manchester City had absolutely more wins this 2013-14 season. I said I think they do. Off the top of my head, I figured with the wins they accumulated in the League Cup and FA Cup were enough to give them a slight edge. And since then, looking over the information they do have a slight edge over Chelsea. It doesn't mean Man City is a better club or has had a better season. They've just put together more wins. But keep reaching. Pre-season games are real? Thanks for the laugh.