What are effective strategies to work through 'drafting fatigue'?
Having similar experiences, the only approach I have found effective is to leave it alone for an extended period (week to a month typically - with fresher eyes the longer I wait). You can dig into another project for that amount of time, so it isn't wasted doing nothing.

The bullet points jive with my experience as well, e.g. reading the same draft over and over again makes one less likely to see grammer mistakes, minor supervisor input is annoying, and you always want to do alittle more (like add in another figure). 

For copy-editing sometimes I will ask my wife or a friend for a look over, which is nice because it gives you alittle respite from the draft as well.