If you were to start White on the inner cube and Black on the outer cube, then White's Home Face could be 01 and Black's could be 66, which would be the lowest and highest numbers respectively, like 1 and 24 currently are. Then White's adjacent faces would be 02, 03, 04, 05, 12, 13, 14, and 15, which are all low, while Black's would be 22, 26, 33, 36, 44, 46, 55, and 56, which are all higher.
If you were to start White on the inner cube and Black on the outer cube, then White's Home Face could be 01 and Black's could be 66, which would be the lowest and highest numbers respectively, like 1 and 24 currently are. Then White's adjacent faces would be 02, 03, 04, 05, 12, 13, 14, and 15, which are all low, while Black's would be 22, 26, 33, 36, 44, 46, 55, and 56, which are all higher.