Ds doesn't like urinals (he thinks they smell). Not sure about where he pees, because, you know, I have this thing about his bodily privacy now he is growing up. He isn't at boarding school. I do think it is my cleaner's job to clean up the bathrooms IF (big IF) there is any pee. I would also expect her to clean hair from the bath plug, throw away used tissues, and empty bathroom bins if friends have left used sanitary products in them. The dc are told by me not to leave her an unnecessary mess but if you think I clean before she comes in case she is confronted by bodily fluids in a house with DH, dc, multiple bloody animals and old-fashioned plumbing, you are barking up the wrong tree.
I find myself really shocked by the statements here.
Not just the details of what you expect the cleaner to do in regard to pee in the bathroom, but the juxtaposition of:
Ds doesn't like urinals (he thinks they smell).
and
I do think it is my cleaner's job to clean up the bathrooms IF (big IF) there is any pee.
Have you ever asked your cleaner if she thinks your toilets smell and if she has an objection to that, or to dealing with urine outside of the toilets?
I am really interested in how much this cleaner of yours is paid to deal with your family's bodily fluids.
I am really interested in how you think you can fairly assess how much to pay your cleaner when you actually do not know what she is dealing with by way of bodily fluids in places where bodily fluids should not be. It seems to me that you place the value of your DS's privacy ahead of the value of paying a fair wage to someone providing a service to you.
What sort of development work do you do?
I am really, really interested in how you square your preciousness about your DS's privacy with your question to the cleaner -- Have just asked my cleaner if she thinks ds is guilty of peeing around his bathroom, she said he's "better than most" 
and then started telling me horror stories about other houses.
But what I keep on coming back to is the very obvious fact that you do not really care where your DS pees, and you do not care that other people are left to deal with it, while at the same time you complain over and over about a priest's sexism -- from saying 'yap, yap, yap' to hiring a domestic abuser as a sports coach, and you are clearly very clued up on the sexism inherent in the word 'hysteria' but you have absolutely no shame that your son performs only 'better than most' when it comes to peeing.
You completely fail to see that the sense of entitlement that allows your DS and the other boys to leave their pee on the floor or on the seat for someone else to deal with is exactly the same sense of entitlement that is fundamental to sexism in grown 'men'.
In fact, far from seeing how the entitlement is all the same, and far from understanding the need to stamp it out, you seem to think its manifestations (soap dodging, possibly peeing in the shower, and leaving urine behind for others to clean up) are amusing.
How can you be so blind? Join the dots.
Sexism begins at home, in homes like yours.