The Bizaro incident was non-canon, and "Trinity" was a gigantic insult to Diana and her fans, anyway.
The Golden Perfect was the only time the Lasso broke in canon, pre-Flashpoint, continuity. And reality was emphatically NOT fine.
New 52? Obviously, it's up in the air. The Lasso has yet to be broken (or even used all that much.) We won't know until some writer chooses to do it.