Neither have fictional or mythological basis under a name as specific as that, which is why the names are contrived. The teleporting thing is a matter of taste (if I want pixies and sprites and faeries, I'll have them as pixies and sprites and faeries, not "eladrin" whatever the heck they are, thank you very much), and the concept of warlord was hard to name because it has no basis as a trope.But eladrin and warlords? Really?
Willowy fey who disappear in the blink of an eye, and charismatic leaders who can exhort their companions to great efforts, make them get up and keep going when they want to fall over and die, through nothing more than the power of their speech? You don't get any more "mythological fantasy" than that.
It's not even a leader, it's a kind of drill sergeant/expert on everything/cheerleader, and by default it's existence makes a mockery of both the expertise of the other classes, the independence of other characters, and turns every party into a military outfit.
They're both bad design for the core and the implied setting, IMO, but that's neither here nor there. They should definitely be optional, and that's what we're discussing here. Referencing them in text and artwork everywhere doesn't do that. It's good that you like them, but surely you can see some obvious problems with them.
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