Except they haven't really had the Earth-3 one do anything yet.
It's like when she shows up in anything with the League she's an evil Diana named Lois Lane. When she's in anything with only Superman she's an evil Lois Lane with powers.
So she's either a Diana who killed Lois and took her identity or possibly she was the head of an invasion, Lois conned her, then killed her and maybe her powers were only in her weapons so she could steal them