The thing, to me, is that the class heals in exactly the same way as the cleric and other classes. I think that sells the flavor of a martial healer a little short. It's an interesting design challenge, and I like interesting challenges.
An interesting exercise, indeed. Unfortunately, it's limited to the warlord, when I'd actually love to see the other healer classes modified in other directions as well.
For instance, since the warlord's healing is intended to be "inspirational," I'd love for many/most of his healing abilities to be of the "You hit the enemy, and also heal one nearby ally" sort. But then I'd want to see the cleric
lose such powers, and focus on more overtly magical effects like the traditional
healing word.
Obviously not an option at this stage of the game.

But it's certainly difficult to make a Leader A's healing feel different than Leader B's, when Leader B has half a dozen different varieties of healing powers.
You know what might be interesting for a martial/inspirational healer, though? Powers that are dependent on the actions of the
recipient of the healing. For instance:
INSPIRING WORD
You call out to a wounded ally and offer inspiring words of courage and determination, allowing him to draw additional confidence and vigor from his own victories.
Encounter (Special) * Martial, Healing
Minor Action Close burst 5
Target: You or one ally in burst.
Effect: The next time the target successfully hits an enemy with an attack, the target may also spend a healing surge and regain an additional 1d6 hit points.
Obviously, that's just a wild idea off the top of my head. And heck, you could have powers that do all sorts of things like that: Heal next time you use an encounter or daily power. Gain a saving throw next time you use a daily power. Spend a healing surge next time an ally in line of sight is hit. (And sure, the downside is that the person doesn't get the healing
right now, which could be bad in some situations, so there would have to be advantages to balance it out. But like I said, this is just a wild hair idea.)
Point is, if its meant to be inspirational, and to feel different than everyone else's healing, then having effects that kick in based on the actions/circumstances of the recipient, or of the other allies around might be an intriguing way to go.
(Silly not-even-remotely-legal disclaimer: Anyone at WotC, or any freelancer, is welcome to use this general idea if by any chance you decide you like it, and if I don't do something with it first. Just give me a special thanks or something.

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