I never saw Special Edition as I'm sure they never visited the UK. But I did see DeJohnette's Quintet with Gary Thomas and Bennie Maupin. That was loud fast and frantic.
I have several live Special Edition tapes from Eoropean concerts in varying fidelity. I've just played a 40 minute version of Tenor Madness which must give a good idea of what the band sounded like live, it's a pretty energetic performance. This version of the group features Howard Johnson, John Purcell, Rufus Reid plus a second sax I can't identify from the announcement. If anyone can recall this 1985 (?) concert/tour I'd appreciate any additional information.