Hmm, Lou Reed live and The Band Live At The Academy of Music 1971 sound very different from one other to me. When The Band played The Hollywood Bowl in ’71, they were given carte blanche for their opening act. They chose The Miles Davis Group. Garth Hudson and Robbie Robertson were and are big fans of Bill Evans, with whom Jack DeJohnette had worked. DeJohnette and Levon Helm became close friends, and when Jack himself headlined The Playboy Jazz Festival at The Hollywood Bowl in 2017, he performed one of Levon’s signature Band songs, "Up On Cripple Creek". DeJohnette was not a Jazz snob.
Neither was a later drummer of Miles'. When asked in an interview in the 1980's what current drummers he liked, Tony Williams replied "Have you heard the guy in The Ramones (referring to their second drummer, Marc Bell)? Now THAT'S a great drummer." I sh*t you not!