All we know is that issue seven was the first present day issue of Justice League. Bruce's comment to Trevor about asking....errr...demanding that the UN disban JLI was a little harsh and I thought a forced attempt at bad comedy. I dropped JLI but didn't the first issue establish that Batman infiltrated the team in the first place to kind of "guide" them as well as his main objective to find out what the UN's agenda was with starting a team? Like I said I dropped the book after the second issue so I don't know what happened since.
I dropped it after the third, but it looked pretty clear that the situation was as you suggest. This new information, that Bruce wanted the JLI as a kind of distraction meant only for publicity, seems to directly contradict that. The onyl way I can reconcile the two is to suggest that Justice League
7 takes place before JLI
1, and that Batman changes his mind after seeing the team in action (except that here he says he has zero respect for the team after seeing them in action).
Further, much of Batman's trust in Booster Gold in JLI
seems rooted in their relationship in the cancelled Booster Gold series, but the history of their relationship is utterly muddy at the moment; if none of the original JLI happened, then the Batman of Justice League
would seem like the more obvious one.