Probably more the latter in a way, if you can call transcribed Bird solos traditional. A trumpet or trombone is usually added to the charts for variety and for solos (they had the best - Conte Candoli, Blue Mitchell, Frank Rosolino, Carl Fontana). On the studio recordings there are no saxophone solos; however in concert there were. But those Bird transcriptions took some serious woodshedding, I'm sure. I haven't heard the WSQ that much but I really don't see a connection at all.
Going to add a story here. Back in the 70's Supersax was booked for a two day jazz festival in Toronto with a performance each day. They flew into Toronto and believe it or not, the airline "lost" the book. But one of the saxophone players had kept his book with him on the plane and the rest crowded together, trying to read his book and play their own parts. It really didn't go so well. Just too demanding even for these guys. They wound up playing the heads and jamming through the tunes with lengthy solos. But by the second today the lost book had been found and they really nailed it.