Lyxen
Great Old One
So it's hardly a surprise that one then goes on to learn of a class feature called Commanding Presence.
No one doubts that, I liked playing warlords for that reason. It still does not explain how it HEALS people, as per the 4e definition, that's all. This is where the pure gamist perspective comes in.
I would also add: the earliest version of a warlord-type ability published for D&D that I know of are the abilities of a Good Cavalier, as presented in UA, to (i) act while at negative hit points, (ii) to heal an additional d4 hp per week of healing, and (iii) to make all allied creatures within 10' immune to fear.
And it has nothing to do with healing others. Also, just because other editions had mechanistical gamist effects does not excuse other editions to do so as well, they are typed exactly the same way.