I was fascinated by how involved (or not in a couple of cases) my Cubs were in the sewing session I ran before Christmas. 3" felt stockings. A couple of types of decoration to sew on (mini jingle bells or large coloured beads), a few girls sewed patterns using the embroidery thread for sewing them up as well. And an easy way and a harder (more decorative) way to sew them together.
All 20 who were there made a stocking by the end of the session - there was no demand for a game (almost unheard of in our group - Zombie Apocalypse is a weekly demand!!), some stockings were very decorated, others were quite plain, but the boys were as engaged, if not more so, than the girls.
We found the same whenever we have run "backwoods cooking" and given them a choice of ingredients to make their own meal. The girls do something quickly and rush out to "play with fire" (couple of leaders supervising this very carefully!!), while the boys are the ones concocting still, making cake mixes to cook in orange peels, or having involved discussions about seasoning their onion/carrots/potatoes/mince mixes.
This is not in a deprived area - it just seems that they don't get that opportunity in general.
And that's not meant as a generalization - there are boys who love messing with fires and just poke a stick through a sausage to get out there as fast as possible. And girls who will be making the most perfect mix possible for their food before going outdoors and the wind blowing their hair. But it is always surprising how the genders DON'T conform to their stereotypes on such events.
It's about giving all the Cubs a chance to do something they are interested in. And exposing them all to things they may not have otherwise done. But not demanding that they all do everything, or get everything perfect. Just try everything, and learn to say "no" back to us as well (we always find ways for those not wanting to get involved in specific activities to do something else - a photographer or water carrier when we go "bog hopping" instead of getting muddy, someone who always rows the larger boats rather than getting into the smaller punts and going swimming, someone who sweeps the floor and organizes the game for afterwards rather than completing an art activity they are not enjoying/understanding, a couple to organize supper (hot chocolate and biscuits) when campfire singing has got too loud/boisterous late at night....)