Brown Jenkin said:Either the Warlord has magical healing or it doesn't.
Honestly, we have no idea how the warlord's healing works. Maybe it speeds up hitpoint recovery, maybe it converts some hp damage to subdual, perhaps it gives you another "second wind". Those don't have to be magical.
Dnd already takes into account nonmagical healing. You gain hp through rest, and the heal skill increases that. Nothing magical there, makes perfect sense. Now what if we doubled what the heal skill can do, or even trippled. But lets say it could only bring you up to half hitpoints or something like that. Still useful, but its still not "magical healing".
Arguing about the warlord's flavor is pointless at this point, because we honestly do not know how the mechanic works