I agree with you lass, and I'm not entirely sure what pondering means because it sounds complicated.
But you talking about football demonstrates that it's not a gendered activity.
There really aren't any that are innate. We know that. So saying them out loud tends to prove it.
It does wind me up a little when we talk about trans people adopting the stereotypical roles of the other sex. Because they don't. It's just about presentation.
The actual roles that are damaging to women are things like the assumption that they will do the housework and wife work and that they are there for sex and to be decorative.
Transwomen reject the former and embrace the latter. Cherry picking the bits they want, because they're men and they can.
They want to be treated as sexually desirable whilst not wanting to do any of the grunt work that gets lumped onto women. Typically male thinking.
I don't think talking about football, baking etc, would work. No one truly believes that they are gendered.
It's about an attitude which leads to women being viewed as lesser.