That advice works for women too.

In my language the saying is "don't spit against the wind", not piss.

Well my female dog hasn’t figured out that she shouldn’t piss uphill. She’ll squat facing downhill to do her business but then act disgusted if her feet get wet

Probably, don't piss into the wind.

Always wipe front to back

“Don’t piss uphill”

Don’t piss on the subway grate.

Don't lactate into the wind.

Don't sit on the toilet seat without wiping?

Something something menstrual blood?