If the local architecture agrees, and cleanliness is good, my position is often 'hands-free' (actual hip and groin-aiming is usually all I need to apply), inclined forwards with forehead against wall/head-height rafter/whatever. This applies most to my personal loo, where it's conducive to this particular position (not so much 'toppling' that I'd get concussion after leaning into this particularly relaxing position), where I'm also as likely to not even bother turning the light on, when dark, being so familiar with the layout.
Usually, also, I 'aim' for the back of the pot, not the water. Maybe for noise-abatement purposes, or something about not wishing the potential energy of the fall to add to the initial kinetic energy and covert into excessive 'splashback'. When executing the aforementioned 'lights off' manoeuvre, however, that initial reassuring tinkle into water (after which aim is adjusted a bit, to where I want it) is of course desirable to indicate that no grossly off-target shot is being made.
(Additionally, it requires a quick feel with a hand to make sure the seat (and cover!) is still raised! Just in case!)
And I have no excuse of too much/little sleep, alcohol or otherwise, for my having posted any of the above. You can also pretty much assume my gender, if you weren't already cognisant of it.