I like this question because a particular playstyle can span across genres of games.
I would consider myself a "Cerberus Tactician" (Miranda's defensive power) because I tend to play my lot of games from a tactical stance.
This probably started way back in the good old days of Gameboy and what brought its rise - Tetris (which I still play to this day though on other consoles). Many see that as "building and tearing down", but there's science to it. Before they had the "Ghost Piece", you really had to think about what you were going to do. Of course, I play with the ghost piece, but I don't see that as a help or unnessary harm nor do I care.
Considering the genres I have: Sports, Action, Fighting, Adventure, RPG, TPS, I play many of these, I play tactfully.
Of course, there is the argument that such a playstyle is boring (ie: ME2 Hide, Shoot, Hide Again; however, this seems to be the design for 99% of shooters out there. I doubt ME3 will be all run and gun either).
So, yes, it is possible to have a particular style work for every game.
Time based sports game - Eat the clock if you score first or leading late in the game.
Shooters: Shoot and cover and run-n-gun if you're risky; be aware of your surrounding (includes enemies)
Fighting games: Memorize patterns, but mix yours up
For me, mploring tactics leads to less "Oh, sh--!" moments.
I, too, think it does reflect the type of person you are as the Tactician often thinks things through, planning ahead, considering all possible variables. Does this person overthink at times, yes. He or she might adhere to this philosophy: "Better safe than sorry!"
To deep? Well, as I said, Tacticians are methodical by nature. Gaming and otherwise!