We've talked about the BM before. What could have been one possible option towards the beginning was for someone (WotC or something on DMs Guild) designing "fluff subclasses" of the Battle Master, where you come up with a story and then select the fighting style, maneuvers and possibly feats that would best exemplify it. So your 'Myrmidon' would include let's say the Protection style, the Sentinel feat, and maneuvers A, B & C, plus a write-up of what Myrmidons are, what they do, and what their raison d'etre is... the 'Sniper' would include the Archery style, Sharpshooter feat, and maneuvers D, E & F... the 'Samurai' would have other stuff, the 'Cavalier', the 'Banneret', the 'Brute', the 'Mariner', the 'Scout', the 'Brawler' , etc. etc. etc. Someone would put together these "kits" for the Battle Master with both narrative and a pre-selected group of fighter abilities. So people could choose to play specific kits without needing to figure out for themselves how best to build them.
As far as I'm aware, no one ever really did that. WotC kind of started down this path with the Superiority Die subclasses like the Scout and Cavalier, but went further in that they created specific individual abilities for each of them (which of course annoyed some people here on the boards as they questioned why they wouldn't be available to every Battle Master), but didn't go so far as to add fighting styles or feats to help sell the package. Plus, they only made a couple, whereas I think if you were going to build these pre-made story BMs that didn't add new mechanics, you'd just want to make 8 to 12 of them all at once.
WotC didn't do that... they made only a couple "story based" versions using SD and they tried to play them off as "true" subclasses on par with what the other classes got... and thus people rejected them. And which is why we are getting the subclasses we have now... story-based ones with individual concepts and mechanics just like all the Rogue subclasses are. Which means the Battle Master is now the "odd man out" as it were.
Personally I think it was one of the major missteps of 5E's design. They were so focused on creating the simplest "simple fighter" in the Champion that they didn't go all-in on their Battle Master design. They COULD have created the "Basic Rules" Battle Master 'Champion' using the most basic maneuvers and dice (the same way the "Basic Rules" Cleric is just one of their standard but easier to grok domains and the "Basic Rules" Wizard is one of their standard but easier to grok schools) but instead they designed one completely separate from it. And thus they've left what should have been the true and interesting mechanical heft for the Fighters (and indeed many of the weapon-based classes)-- Maneuvers and Superiority Dice by the wayside. It's a shame.