the women who do hobbies don't engage in any different ways than the men do.

the difference in engagement is more about personality type. whether you are vain or not for example, will go a long way to how you engage with a hobby and others in said hobby.

men and women however, do engage in different hobbies and activities, mostly due to gender bias about what is an 'appropriate' hobby for their gender to have. how many straight men do you know who tailor their own clothes for fun. Age/resources also have to do with it. many hobbies are financially unattainable until later in life how many single 22 year old women do you see at the open track day vs single 50/60 something men?

and in a hobby in which there is unequal participation or one that requires certain physical strength/skill, there will be a big gender disparity due to the level of participation and play.

which is precise why the USA sucks at men's soccer, but is great at women's soccer... because relative to other countries our men don't participate much in soccer and our women do. but we are getting better at it as soccer has become more popular over the years, esp with boys.

and there are other hobbies, like running or pickleball or watching TV, which have a lot of gender/age/etc parity, because they are so accessible and are not gender-normed.

but more broadly, women are more social than men, and their hobbies are often more an excuse to socialize, than men, who socialize less and focus more on the activity itself.