Disney+ was never gonna be able to compete because they wanted to keep the 'adult' content pushed over to Hulu.
HBO Max will be the gamechanger. They're sharking content from every other WB network or streaming service (Gen:Lock, Boondocks, Doom Patrol, Sesame Street, Adventure Time), getting classic sitcoms (Friends, Fresh Prince), and getting exclusive streaming rights to non-WB shows (South Park, Doctor Who).
WB doesn't have the same family friendly branding that Disney does, so they won't be as restricted with what content they put on there.