I'd be interested in seeing pics if you get the chance. Most plastics tend to burn/discolor pretty quickly after reaching melting temp.
If it were hot enough inside the axle to melt the plastic bushing you can bet the extremities i.e, the idler arms were even hotter.
So if the plastic were to melt and run outside onto the idlers, chances are it would burn pretty quickly.
I'm not suggesting the problem could be something else or that your axle may be OK (because it probably is not), but the "Manufacturing CSI detective" in me wants to get a better idea of what is going on...
Our powder-coat line at work is pretty typical. The parts run through the oven on an overhead conveyor.
The oven itself is about 1200 sf and has a 3.8 million BTU burner that supplies the heat.
The parts are painted 95% by robots and then touched up by two painters before entering the oven for curing.
The touch- up painters are literally a few feet from the opening to the oven.
An air-knife separates them from the oven and helps keep the heat away from them for the most part, but it is still pretty hot work.
If the fancy electronics failed to notice an over-temp situation, the human factor would take over and the painters themselves would say, "Hey, the oven is running hotter than normal!"
Ergo, I believe the oven temp was probably what it should be. The plastic that melted out of the axle tube may not be nylon at all, but "something else", and that's all I got at this moment...
Like I said before, this exercise is simply for posterity, that we may learn something and hopefully not repeat the problem in the future.
"Let all our mistakes be new ones"
-Some Guy I Used To Work With