Orion and Big Barda didn't join the JLA until after Hippolyta had taken over as Wonder Woman and Diana was a goddess(JLA #14). How would Superman get to Apokolips unaided when it's in another dimension? As for the Angle Man, he hadn't existed yet Post-Crisis in order to help Diana get to Apokolips with his Angler. He didn't show up until Jimenez's run.
Currently(or soon to be) Reading: Absolute Power, Batman/Superman: World's Finest, Birds of Prey, Green Arrow, Green Lantern, Justice Society of America, Shazam, Titans, & Wonder Woman.
So Byrne could contrive to get Wonder Woman to Apokolips in his very first issue, but couldn't figure out a way to get her back? Angle Man showed up after his run, so Byrne himself couldn't have used him? What kind of logic is that? He couldn't contrive to have Diana meet Orion and Barda, or write the follow up after they had joined the League?
Thinking about it, I didn't really need to see Diana going back and get revenge. I think the story shouldn't have been written in the first place. It was just a springboard for something Byrne had been trying to assert-- that the Greek gods were an offshoot of the birth of New Genesis and Apokolips. It was just an excuse to re-introduce Kirby characters, his springboard for the (awful) Genesis mini-series. Just as the introduction of Hippolyta as Wonder Woman was an excuse to bring back the JSA for a series he wanted to write.
He had no real interest in writing Wonder Woman, which is why she was pretty useless during his run.
Currently(or soon to be) Reading: Absolute Power, Batman/Superman: World's Finest, Birds of Prey, Green Arrow, Green Lantern, Justice Society of America, Shazam, Titans, & Wonder Woman.
While it's true Barda and Orion didn't join the JLA until near the end of Byrne's run, the Angle Man with an Angler had been around since the 70s.
Currently(or soon to be) Reading: Absolute Power, Batman/Superman: World's Finest, Birds of Prey, Green Arrow, Green Lantern, Justice Society of America, Shazam, Titans, & Wonder Woman.
Byrne's run had a lot to recommend it. After the inconsistencies of the Messner-Loebs era in terms of powers and power levels it was great to see her restored and consistently portrayed. He also brought a wonderful sense of escapist fun. His rendition of the armour featured bold elements with special mention of the boot strips and the dynamic and prominent WW emblem. However I did not like the two stars thing and I did not like the gi-normous tiara.
Among the negatives for me was the loss of Wonder Woman's more unique approaches to her faith and her gifts. Byrne emphasized the warrior angle and the superhero angle but Wonder Woman is a lot more than both. I like the complexity of the character's design so I did not receive this simpler rendering of her world as well as I might have otherwise. Also, Byrne tried to apply the same formula from his Superman days. The difference though was that Diana only had the one book whereas Superman was featuring in three to four at that point. Where it appeared that all of the additions (The Demon, Morgaine, Jason Blood, Phantom Stranger, et al.) felt like guest stars during his Superman tenure, they really crowded the book and forced Diana into guest star status during his Wonder Woman run. Same exact formula but the effectiveness was dramatically affected by the smaller stage.
Also negative for me was his bringing that blasted Golem business to the fore and mucking up the Wonderverse terribly in the process. The Gods leave and the Amazons including Wonder Woman "revert" to clay. Uh, no.