Jazz is more amicable to diversity than classical music on a fundamental level, because it's based on improvisation and unique personal expression. If you're physically unable to play the same way as everyone else, you're pretty much useless to a classical orchestra but you may well become a pioneer in jazz.
Some obstacles to diversity can't be overcome with blind auditions and quotas and sensitivity training. Some environments are lacking in diversity because they are structurally incompatible with diversity; they can't have diversity retrofitted on to them, but need to be reformed from the ground up.