My two defy the stereotypes, at least when it comes to interactions with people, so it is hard to say.
Meg, who is obviously female, adores all people and is the one likely to go work the room for loving. She very clearly loves me, and will choose me over others if she is forced to choose (ie if I leave the room, she's coming with me), but if I'm in sight, she's the one sitting on everyone's feet, shoving her head onto their lap, and looking for love. She's maybe the more "complicated" to train, in the way that she thinks about things, but she's far more focused on me and on work rather than the environment.
Gusto, who is male, is such an aloof twit in public. He will very, very rarely seek attention from anyone, and will usually just stare at people if they reach a hand down or call to him. He doesn't even like touching or snuggling from me in public, and I regularly threaten him with "You be good or I'll kiss you in public!". Now, he's very snuggly in the house - maybe even more than Meg. We shared a room a week ago with an agility friend who has known him since he was 6 weeks old. She sees him probably at least once a week, in classes and trials and practices, and she was shocked when he jumped on her bed to visit her! He was curled up on my chest and snuggling like she'd never seen. He's very distracted by his environment, and is just as likely to blow me off as work with me, but he isn't "complicated" to train.
The one place they do fit stereotypes is in their interactions with other dogs. Meg is all female, very selective, and mostly would prefer other dogs don't touch her or bother her. Gusto is sweet and respectful of dogs who don't want to be bothered, but will joyfully play with any and every dog who wants to. He's gotten dogs whose owners claim won't play, to play with him.
Which do I prefer? Something in the middle
I don't think I'll ever choose based on gender, other than making decisions like 'I won't have another female in the house with Meg'. The right dog for me can be either gender.