No, its part of the /4e/ concept of a warlord. The 3e marshal didn't have healing.
Well, isn't that a clever little bit of circular logic and well camouflaged false authority and dogmatism. My compliments.
You've said before that the Warlord was really only a fleshed-out concept in 4E - so since the Warlord is only a 4E concept (according to you), and a 5E Warlord doesn't need to do anything that a 4E Warlord did (in your opinion) - then a 5E Warlord isn't necessary.
That was adroitly done; except that you're ignoring that the majority of feedback from Warlord fans here at ENWorld - both 4E fans and non-4E fans - shows that inspirational recovery of real hit points is a fundamental part of the concept to them.
So, No...just No. It's part of the concept of a Warlord that Warlord fans want, and that's all that should matter.
A Warlord class is not for those that don't want a Warlord, it's for those that
do want a Warlord.
If the presence of a Warlord class cheeses someone off, then frankly that's their problem to deal with and not my concern.
I have no problem with a warlord rousing an ally rendered unconscious from battle using just 6-seconds worth of words from 10+ feet away IF that power was somehow "magical". Not a spell, but a supernatural power like a paladin's lay on hands or a bard's song of healing. If you will concede "nonmagical", I'll concede everything else.
I won't, because I won't limit the narrative that way. Nothing in the wording of inspirational recovery - whether in 4E, the 5E Battlemaster, or even in the ideas proposed in the Warlording the Fighter thread - explicitly state magical or non-magical.
That's the way it should remain.
And it seems to me you may be under the false impression that I'm engaging in some kind of negotiation. I'm not. I'll discuss it all you want; however, I will not concede anything of the concept. I'll explain, counter misconceptions, point out faulty logic, and generally try to win people over; but concede? Absolutely No.
Warlord fans do not need to concede anything of the concept just to make those who don't like Warlords feel more comfortable, and it certainly will not happen with the one we've been working on in the Warlording the Fighter thread.
If in the future WotC develops and presents a Warlord, but concedes to those who have issues with the Warlord, then they'll be doing exactly the thing they already did with the Battlemaster, and the very thing that initiated this current call for a real Warlord class.
That would be a mistake.
...a fighter can only use SW once per rest, since it draws on "a limited well of stamina", and since the warlord isn't giving them new stamina (via magic) but triggering them to draw on such a similar well, I'd argue the warlord could only use this ability on a target once per short rest each. Further, since the warlord is speaking words of encouragement, the recipient must be able to hear them and understand them. Therefore, the healing wouldn't work if the target was deafened or didn't share a language (the latter isn't a concern among PCs who share Common as a lingua franca).
Lastly, while Healing Word is a bonus action to cast, its 1/2 as effective as Cure Wounds (which is both touch and an action). A warlord's healing should be similar; a small amount quickly from afar or a larger amount slower from adjacent. And since neither scale automatically, neither should a warlords (though some mechanic, like dice or warlord points could be used to augment that healed.)
Essentially, a warlord's nonmagical healing becomes "trigger a second wind-like ability in a target, once per target per short rest, as long as they aren't unconscious and can hear and understand you" which works just fine for hp recovery. He's still limited as a full healer (since he can't get Lesser/Greater Restoration) but he's at least recovering free hp for the party like a cleric can.
Work for you?
I find it amazing every time someone proposes an idea like this. It highlights to me that people are discussing based on assumed premises rather than informed opinions of what we've been working on.
In other words, all that anyone needs to do to know what we're positing is to actually read it in the Warlording the Fighter thread.
I know you're aware of that thread, and the exact post where those ideas are presented - because I pointedly included a mention of you in it so you could peruse it. Not to mention that I've included links to it in numerous other threads since.
If you had read those ideas I don't think you'd be positing the idea you just did, as it's very similar to what we've already proposed and are working on...