The Loctite is not to stop the nut coming undone. Loctite 243 is for taking up the slack in keyways and splines. It does a great job at it too but not so much for holding a nut. It seems there is a product in their range to do just about anything, all you have to do is make sure you choose the right one.
BTW, what you guys call cotter pins are elsewhere referred to as split pins. Cotter pins are like the two in the front axle that hold the king pin. Just another term that has been corrupted over a lengthy period till it comes to be accepted to mean something else. A bit like "ring gear". (That belongs on the flywheel.)