Put the seat and the lid down before flushing.

People of the penile persuasion can sit while peeing. It is very easy to do.

Pooping is what unites us

I'm a woman and will leave the seat up at work (not at home)

We have unisex toilets and truck drivers use them - they regularly wee all over the toilet seats if left down :(

But like, if men pee with the seat up, but both men and women poop with the seat down, then statistically the seat is already down more than half of the time. Now if we enforce a policy like this, that would mean more than half of the times someone walks in and needs the seat to be down is in luck, but the rest has to do double the "work". And if someone goes in after someone who would have otherwise left the seat up, they too do double the work, so the seat changes position 4 times instead of once. I think it's much more "just" to simply change the seat whenever you need it and sometimes you will even find it in the position you need it in.

Leave the seat down so when you flush you won't inhale your poop and pee.

Cmon it's not hard.

Edit: and lid.

If you raise it, put it back down when you're done. If you put it down, put it back up when you're done. That seems fair.

Alternatively, if there's a lid, close the lid when you're done. Then everyone is equally "inconvenienced".

Biased how. Do the math. Half of us sit down to pee, all of us sit down to shit.

Sit to pee for all. Solves all problems.

I put the lid down, don't want toilet water splashing all over the place when you flush.

Soft close toilet seats should be standard equipment.

Then putting the lid down is a matter of a single light push.

I don't really understand what is the end goal here. It isn't minimising the amount of total work done, because for this optimal strategy would be just leaving the seat in whatever position it was used. Funnily enough, amount of times it needs to be put up is exactly the same it needs to be put down in absolute terms, but considering the "up" group is smaller than "down group", their perceived amount of times position should be changed is higher than the same for the opposite group. I. e. in group of one "up" and 9 "downs", "ups" need to change position of lid with 90% probability, and for every "down" it's only 10%. Huh. Of course overall it equalizes: 1×0.9=9×0.1.

Or is it some kind of "welcomeness"? Like, leaving the lid in the most probable expected position (which for equal gender usage would be "sitting" because people sometimes poop, usually not while standing; and because penis people sometimes pee while sitting (me often, but usually at home, not in public)).

Or is it something else?