I've not seen anyone who was attached to the name "warlord".
So we can agree on abandoning it.
It's the best name I've seen for the concept to date. Specific military ranks - or vague-sounding ones like Commander - are too narrow, Marshal has the additional issue of being suggestive of the old west, Hero is too broad.
Warlord sounds cool, doesn't imply formal/legitimate rank or authority (unlike Marshal, ironically, since Lanefan sites trouble with authority as a reason to prefer it), isn't too narrow and evokes genre.
So your first statement is false
Why do you say that? There are only 5 non-magic using sub-classes in 5e. All of them have high DPR as their primary contribution, and only the two rogue archetypes having significant non-combat contributions, as well. The remaining options are mostly casters (30 of 'em), or have some other magical abilities to call on. I suppose, at the outside, you could argue that the open-hand Monk's ki is supernatural-but-not-magical, the way psionics might be treated going forward, but, OK, 'not supernatural' if that's the problem.
Or are you talking the technicality of very minor contributions? Like, the help action is a support function, ergo non-casters can totally 'contribute' support? OK, is this clearer:
Currently, if you're interested in your character's primary contribution being something other than DPR, you must choose a sub-class that uses
magic supernatural powers, preferably a full caster.
Now I'm curious... and I honestly at this point don't know 100% but can any of the classes listed above actually grant another character an attack?
I believe at least one of them directly, yes, but I don't have the spell lists memorized, either. Then there's all the healing & buffing &c. We could add the Wizard to the list, and thus be sure of Haste's attack-granting. The Wizard can be a fairly impressive support character, with the right spell choices that morning, even if it can't cover the critical hp-restoration aspect of a traditional band-aid-Cleric/Healer or formal Leader Role.
So I guess my next question would be what is the criteria being used to judge these classes so I can get a better understanding of why you consider the BM inferior, especially if he chooses to specialize/focus on support...
Number, availability and power of resources. The Battlemaster chooses 3 maneuvers from a list of 18 or so, that are all 3rd-level-appropriate in power, and can use a maneuver twice between short rests. Over his remaining levels, he chooses more maneuvers from that list, and gets a few more CS dice to activate them. Compare that to spell progression. Even a half-caster has massive resources to devote to support, by comparison - and greater flexibility in choosing whether/how to do so, as well.
I am not sure what relevance this has to the post I made. I haven't suggested removing anything... what I am lookig at is whether the BM is viable as a warlord-esque character...
It's called an analogy. If your assertion is that the BM adequately covers the Warlord concept, then it would be equally reasonable to say that the EK (or AT) adequately covers the Wizard. Since the later is very obviously false, the former is pretty weak.
The BM is no less viable than a Champion, and has a tiny hint of the 4e Fighter (15 maneuvers, instead of 400+), and a tinier hint of the Warlord (3 maneuvers instead of 300+), just as the EK is no less viable than the Champion, and has a somewhat more substantial taste of wizardly power (up to 4th level spells instead of 9th). So it's not that it isn't viable - it's a perfectly viable high-DPR character - just that it's support potential is window dressing.