I think each hobby and person is going to have some different nuance to this, but in general I think there's a split. Physical hobbies where one is face to face with peers are more likely to be engaged in similar ways if there's mixed genders, I think. Co-ed community sports are generally going to have the same vibe from place to place and from gender to gender, or community gardening, volunteering, etc.
However where I think things are much more likely to be different is when one can hide behind the anonymity of the internet. Gaming is hugely divided by gender and how one interacts with things because of that (and age, partially). I feel like if social media or reddit is considered a hobby, then that's going to have similar divides between genders. I know for sure there can be division in online TTRPGs.
Granted, the online bit might be partially biased as I've experienced no end of harassment online for being a woman, but I think the world sees it in general. Gaming is insanely toxic and girls are pushed out or to different genres because of that toxicity that seems to fester with young men in those spaces.