The red head in the chair wearing pants is confirmed to be Kate Kane.
I mean the Justice League animated show is the only exception I can think of.
The other exceptions are two of the Wonder Woman OGNs: Warbringer and Tempest Tossed.
I think Steve also plays no role in The True Amazon. But maybe I just forgot that he appears in this one.
But does Diana leave the island in those books? The question posed was
There has never been Diana's arrival in Man's World without Steve hasn't it?