Two quick thoughts (before leaving for my Cadette daughter's Scout meeting):
I would not want to be a part of ANY troop where the SM is pigheaded about anything (except following Youth Protection and safe camping rules). In my BSA and GSUSA troops, I welcome parents of either sex on camping trips.
I do ask, though, that they try to put their role as "parent" aside for the weekend, and simply act as one of the adults. Certainly when my son was in Scouts, I tried to discourage him from always coming to me about things, and to simply be "one of the Scouts" for the weekend. I do the same