The "United way" stuff is just window dressing. That's not the actual reason we're playing as we are. Ten Hag is a pragmatist (in the real sense of the word, rather than the "plays defensive football" way that football pundits like to use it for some reason) who wants to find the best way to win with the players that he has.
When your best players are Fernandes, Casemiro, Rashford etc, the way to win with them is to play more direct, and it looks like we're already doing that with more structure and control than we were under Ole/Mourinho etc. We also now have the players in the back five to knock accurate long passes to runners or play out patiently as the situation calls for.
If we're good enough in possession to beat the shite, and good enough in transition to beat the better sides, we'll go far. That's pretty much been Real Madrid's model for a good few years now, Liverpool's when they were winning a couple of pots, and City were more like that last year than before as well (Arsenal had 64% possession against them and lost 3-1, Bayern had 56% and lost 3-0).