I have a weird perspective on this. In my professional legal work I do a ton of different types of writing that are all characterised by a very different functional goals: so a 400 word article for the legal press needs to be really concise and informative while also selling my point of view on the issue and most importantly making me seem smart. In contrast advice for a client needs to focus their mind on key decisions/issues while also providing reassurance and support. Legal submissions need to persuade, first and foremost. Also, in all cases timing is usually very tight. So I guess my method in these kinds of writing is all about identifying essential points as quickly as possible and then dressing them in a way most appropriate to the function.
By contrast, writing about games is something I have started doing as a contrast to my professional work and as a way of developing intellectually outside of my very niche discipline. So although I hope I bring some transferable skills in a sense I want to avoid being to driven by function in my writing.
In so far as I have any traits yet in games writing (I've only written half a dozen things) I would say that I am always keen to start off from a personal reaction or thought of my own and then go from there in a rather impressionistic way until I find some ideas that seem more general. At that point, I seem to go back to the beginning and water down the personal starting point and impressionistic rambling to make it into an introduction or illustration for the more general points. I then try and find a way to finish it that isn't too abrupt. From a practical point of view, I mostly write on the train with my netbook -- which provides focus and healthy discomfort.