I was thinking about the "healer heroes" from videogames, for example Mercy, Lucio, Ana, Zenyatta, Moira and Brigitte from "Overwatch".
A true warlord shouldn't be only a walking magic-healer banner.
Every team needs a leader. Be it the Five-Man Band, the Caper Crew, the Badass Crew, the Badass Army, to the Ragtag Bunch of Misfits, they all have one. When push comes to shove, there's gotta be someone that stands up, takes charge, and makes a …
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How would be a "warlord class" character in a D&D action-live (or animated) production?
There are endless arguments about what exactly Batman is, so I'm not really interested in hashing it out with someone who wants to dispute "well AKSHULLY Batman is..."
But I think Batman, as shown in the DCAU, is the "Warlord" of the Justice League. Int-based with, in 5e terms, a subclass emphasizing tools and his allies' powers alongside his own physical fitness. When he speaks, people listen. When he needs something done, he often doesn't even have to
say it, his allies can pick up on his intent from eye movements and head gestures alone. He's clearly comfortable in a leadership position, so long as others aren't questioning his decisions in the heat of battle. And he's very,
very good at leveraging others' weaknesses against themselves and his allies' strengths to greater heights than they achieve by themselves.
And Batman is an ordinary human who has, at best, peak-Olympian physique, ultra-genius intellect, and fancy martial arts training--in other words, exactly what we should expect of a martial D&D character.
Most animated materials would give the Warlord more to do personally, because flashy powers are cool, but a gadgeteer genius or "man behind the man" type (e.g. Oracle) is a common choice. Other options include characters like April O'Neil from TMNT, at least in the better-written versions of her character where she isn't just a boring non-entity damsel-in-distress. Lois Lane might fit the bill too, as she's an utterly mundane human who still manages to eke out some victories against baddies that pseudo-threaten Superman (that is, until he can figure out just how hard to punch them without splattering them).
But, frankly, I think this whole thing is just as misguided as trying to use Gandalf and Aragorn as models for D&D class design. Things that make for fun, gripping gameplay often do not have nearly as cool a
look when shown as an animation from a viewpoint, and things that
look great as animated choreography do not necessarily translate well to class design. They are different media. They may intersect in some places, and they certainly inform one another, but they aren't the same and expecting one to give clear examples of the other is a fool's errand.