My (female) dogs always do a little twirly dance before they poo. I've never thought to check their orientation.
I'll make a spreadsheet and report back.
Apparently cows always piss north.
I think the theory of the benefit to herd animals is that if you are all randomly aligned and you sprint off when a predator arrives you crash into each other.
Unfortunately attaching a cow, even a smallish one, to the handlebars as a navigation device could be challenging.
The other week, whilst cycling, I narrowly avoided being pissed on by a sheep.