It's a warlord issue because what you want in a warlord necessarily creates this damned-if-you-do-damned-if-you-dont situation.
I've never seen anyone reject a warlords buffs. They where always willingly accepted and appreciated.
What i see.
Mike: Hey Jim, do you want an extra attack?
Jim: Yes, i would, thank you. <rolls dice>
At worst it would be
Mike: Hey Jim, would like some extra movement?
Jim: No, i'm going to stay here defending this doorway.
Mike: Ok, then i'll support your wishes and give you some extra AC instead.
Jim: Thanks.
You know, cooperation, teamwork, and not being a dick.
Which class features are they using to do this?
You don't need a class feature for one person's wishes to be stepped on by another person. That's the point you are missing.
You don't need a warlord for teamwork, or a lack of teamwork.
It's a social issue. It requires a social solution.
Having played Paranoia many times since the late '80s, I agree its quite fun.
And it doesn't require cooperation, since you don't seem to understand what that is.
a character designed around forcing the other players to respect and look up to you in order to receive your good graces and handed-down bennies...
That's not a class feature.
Though i did play an evil cleric like that. He wouldn't heal you unless you prayed to the right god.
But that still has nothing to do with the warlord.