Good post, however you used the word "can't" quite a few times. I think the point of the OP is that it's not that most men are telling women that they can't shoot, rock climb, or fly drones. It's just that they simply don't want to. They show no interest even if encouraged.
Again this is a generlization as the women in your post show that the opposite can be true.
Thing is, "can't" was the chosen word because its true. No, its unlikely that someone shakes a finger at a girl and says she can't climb because she's a girl. "Can't" is expressed in the form of social preconceptions of what a girl (boy) is "supposed" to like and do. Just take a look through a sales flier in your next sunday paper that has kids toys and clothes (walmart, target, kholes, etc). You will find the boys dressed in shirts with things like monster trucks on them and girls with My Little Pony and barbie. I took 3 of the granddaughters to a monster truck rally a few years ago and they had a freaking blast. Society has told girls what they shouldn't be doing through imagery, toys, and other programming for centuries.
I feel many do not buck the trend because they have been conditioned to not be interested through social acceptance and intolerance. Boys play with trucks, girls play with dolls. Boys like blue, girls like pink. Boys play baseball, girls play softball. Its all social conditioning. I think many girls/women do not get into certain hobbies and sports because they fear the lack of social acceptance if they did. Imagine your son's friends' excitement finding out you took him to the rifle range to blow some stuff up. Now imagine the horrified reaction of your daughter's friends finding out that you took your daughter to the same range. THAT is what I am referring to by "can't".
Most things (products, services, etc) are designed to operate on these social "norms" as to what men and women and boys and girls are
supposed to do or like. For a recent example, we searched for 4 days and close to 20 shops to find GD12 a new swimsuit on our recent Florida trip. We found ONE. Why? She hates pink. She tolerated it when she was younger but now that she is getting a mind of her own, she doesn't anymore. You ever try to find a girl's swimsuit for a pre-teen that doesn't have pink somewhere or isn't majorly pink? Try it once. Try to find a baseball program for a girl. Boy scouts go camping, canoeing and hiking. Girl Scouts sleep in cabins, do girlie crafts and sell cookies. Why is it acceptable to have a men's softball bar league but its not acceptable for schools to have a girls baseball team?
I have introduced the girls to a wide variety of sports and hobbies from pottery to shooting, from woodworking to painting. The ones they like, they keep doing. And, yes, they like girl type things. They love to go shopping, dressing up, crocheting and playing with dolls (though dolls are beginning to fade from their activities due to them beginning to mature). But they have liked boy traditional things too such as what I posted above. I feel by showing them its OK to like non-traditional things now when they are young, maybe it will allow them a wider choice of activities and jobs as they grow up. The one pictured with the Barrett rifle above is seriously making noise about going into the military.
Thats what I meant by "can't".