There's a possible format for written philosophy that, despite great potential, is almost non-existent. I'll call it genuine philosophical dialogue.
Here's how I imagine it.
It's a dialogue between two (maybe three or four) philosophers who respect each other as equals and who are fully committed to the process. Not, for example, Socrates and some passersby. Not a sage answering questions from his students. Not Berkeley's Philonous or Hume's Philo speaking for the author against manufactured opponents.
The philosophers enter the dialogue with a substantial disagreement. The philosophers aim to actually learn from each other -- exposing themselves the possibility of changing their minds or at least figuring out what common ground they share, aiming to find the root sources of their disagreement.
There are many conversational turns. Not just essay, objection, reply. At least 25 conversational turns. Time enough to go somewhere, shift, make progress, get past the well-rehearsed objection and response, interrupt each other for clarifications, then push back against the attempted clarifications, then push back against the pushback, then return to the main thread....
Both philosophers' positions are genuinely their own -- something they are invested in and expert about -- real, sophisticated philosophical positions, worth taking seriously. Not a novice's first impressions. Not a straw man. Not a cartoon.
The participants aim to present their real reasons for thinking what they do -- not the lawyerly or debate-team approach of reaching for any argument that might seem convincing. The participants expose to critique not only their positions but their best understanding of their own underlying reasoning and motivations.
Each philosopher takes responsibility for revising the whole dialogue, including the words of the other. This is one advantage of written format over live dialogue. If A and B agree that some thread was a false start, they can cut it away. If B sees a striking presupposition in what A says, B can point that out and then either trim it away in favor of more agreeable shared language if both agree that the presupposition is inessential, or bring the presupposition more explicitly forward if it looks like the disagreement might partly turn upon it. If A thinks B's point could be more clearly made in a different way, A could revise B's words and see if B agrees. The aim of these mutual revisions would be twofold: (1) for each to aid the other in presenting each position in its best light; (2) to avoid wasting the reader's time with distractions and confusions.
Russ Hurlburt and I, in our 2007 book, aimed to have a dialogue of this type, as we did also in some subsequent exchanges (though Hurlburt's academic affiliation is psychology, not philosophy). I am unaware of other examples of philosophical dialogues that meet all of the above criteria, though surely such dialogues must exist. Examples welcomed!
Genuine philosophical dialogues of this sort would, I think, tend to decrease misunderstanding, strawmanning, distraction into side issues that aren't the heart of the matter, boxing each other into unrepresentative and unflattering "isms", talking past each other, the general use (intentional or not) of unhelpful rhetorical moves, and excessive reliance on idiosyncratic jargon.
What if Kant and Hume had tried to build one of these dialogues together? It's almost unimaginable that they would try (even bracketing their language differences), but fascinating to contemplate what might have arisen, could they have pulled it off. Or consider 21st-century philosophers who prominently disagree -- it could be fascinating to see what common ground they would find, and where they would finally locate the heart of their disagreement after an extended exchange of this sort.