Kids will be kids.
Some are high energy, some are boisterous,some are loud,some are fidgety ,some are mean etc. Some are not. Kids are awesome and annoying. They get angry,they get sad,they get ridiculously happy and excited. They shout and they cry.
A lot of them aren't just one thing.
Setting up expectations based on "nature " is failing both girls and boys. It's telling them they're not good enough and they need to change their behaviour,personality,interests to fit in the girl or boy box.
It's bullshit. The quietest girl in class(incredibly shy too) still runs around like a lunatic at playtimes. One of the aggressive boys likes to do handwriting when there is free time,especially if this comes with attention and praise. They all love a hug,a joke,a connection,attention.
As school staff it's about getting to know them individually, figure out what works,what makes them tick. Allow them to express that as much as possible. We have boys that have such amazing handwriting it puts mine to shame. We have boys that are amazing artists and I encourage and praise that. We have girls that love playing football and are now part of the "team" at play.
Children do not fit into neat little boxes in general. They are curious,their interests are varied and ever changing. It's the adults that impose limits on them, either at school,at home or by their peers (which comes from the adults they are involved with).