Nicknames are not aliases. Please don't go in guns blazing questioning people's knowledge; there are multiple reasons to remove information beyond being wrong, and doing this just makes you look like an idiot.
If you looked at the Gideon talk page, you'd see a discussion, which concluded that the Gideons on the two shows have a high probability of not being the same. The reason for this is partly because they're voiced by different actresses (at the same time).
In the Smallville episode Hourglass, where they showed the burnt corpses of Batman and other Justice League heroes. When I saw you add the Season 11 JL characters to the "appearances" section of that episode, I immediately put in my Smallville Season 1 dvd and fast-forwardad to where Alexander Luthor Lex's future was shown. And I could clearly see what appears to be Batman, but I still don't see the other characters. I really never noticed it before.
Yeah, I hadn't noticed it before either. Then I found a Youtube video on the appearance of Batman. Checked with my own DVD to confirm it and was able to spot Wonder Woman's gear (right of Lex's head). MM's skull (right of Lex's chest). The GL Ring (right of Lex). Then there are a few that I can't identify. There appears to be an "A" emblem. But, is it "A" for Aquaman or "A" for Atom? There's also some metallic headpiece on the upper left, but I didn't wanna speculate about whom that might be.