I have a bootleg of a 2001 show in Lucca, Italy, and 7BR is in fact the opening song. That was when the four of them used the hand mics & then they did The Long Run. So they did open with it; but not when Felder was in the band. At least I was SURE they opened with it but Soda's setlist is different. There are a lot of photos from that tour of them singing the song, which to me implies they did open with it.
On the LROOE tour they did it but not the full song - for that matter I don't think they did the full song on the Millennium tour either.
My own feeling about the song radically altered when I heard that vocals only version & some of Glenn's part had apparently been removed. It confirmed my belief that Eagles Live is not a 'real' live album and I vowed never to listen to that song again.