Many well founded points, and the principal argument, that girls should have the same (even shared) opportunity as boys in scouting-like-activities has strong merit.
To the specifics, I believe it is important for the reader to understand that the organizations share little or nothing beyond the name “scout”, therefore if the approach of one or both reinforces inappropriate, unhealthy or outdated gender stereotypes, then the criticism should be directed toward the approach of the organizations, not to the fact that they are fundamentally intended to promote activities for boys and girls separately.
Philosophically, I find that there is enough pressure to bring boys and girls activities together, particularly in public/taxpayer funded organizations. Both of these organizations are private and no one is required to participate or limited from making other choices to pursue these activities.
Finally, the BSA does have a level, called Venture Scouting, that is open to boys AND girls ages 13–20. There is no difference in the requirements or the achievements between boys and girls in this program.