I didn't have my staff check through every committee chair and every category you mention. For the sake of a reference point, we checked out what the current ratio is on gender. I don't think it will surprise committee members to know that currently only one committee, the status of women committee, is chaired by a female member of the House.
Some members had expressed concern that my system would lessen diversity in this. I suppose it's possible that a man could be elected chair of the status of women committee and we could have 24 male chairs at that point. But barring that unlikely happening, I don't see how my system could lessen the diversity more than what we currently have. That's not a criticism of any particular chairs; it's just a reflection of certain realities that are out there.