De jure equality is meaningless if there is not
de facto equality. That was the whole reason why "separate but equal" was struck down. Segregation laws had to specifically prescribe that blacks and whites be provided equal accommodations, or else they would not pass muster under the Equal Protection clause. In theory, everyone had the same legal rights. In practice, however, segregation led to persistent, across the board problems for black people in every corner of society. From education to housing, even things as simple as access to hotels and restaurants, segregation provided unequal outcomes despite legal requirements that each group be given equal rights and equal legal standing.
Here is a very illuminating article on all of the racial disparities that exist in our criminal justice system. You acknowledge that outcomes are not the same, which basically admits that there is not equality in practice despite equality under the law. My question to you then is, whether it is a dominant feature of society or not - isn't this inequality a problem that we should seek a solution to?