Outdoor Girl Scouts, what a concept.
Yes, it is entirely up to the GSTroop leader(s). There was no set training for such when I investigated the situation umpteen years ago. GSing did not like the idea of male GS leaders, among other things, even with a female co-leader. My daughter did not want to do tea parties and fashion shows.
I have a friend, Ted, who with his wife founded a GS Troop of Daisies when his daughter was about that age. He was a died in the wool Scouter (he now has a Webelos son) and he led those Daisies thru creeks and trails. They got dirty and caught crawdads. His wife pretty much let him do what he wanted and stood back to let them go, with her blessing. The other mothers thought it was great, "we would never know how to do that", was a comment Ted and I heard . those eight or ten girls got the Scout experience.
Pursue it, by all means, CMPete, prove those GS people wrong and let your girls gain thereby.