I have a story that sounds a lot like whats going on with these defective 360s. I bet Its not a bad design but crapy manufacturing.
I worked in the eng dept. of a small ruggedized computer manufacture for 2 yrs and we had a very big problem with our computers locking up and just dieing. Of course as a company youre not going to officially say there is a problem its bad for business, but behind closed doors we knew better and it was costing us. So after a couple weeks of troubleshooting the head eng. says lets x-ray the boards and see if we can see anything. Sure enough it turns out you could see the problem around the CPU. With todays CPU's they don't have pins on the sides of the chips anymore they use whats called a ball grid array or BGA. These are very very small solder balls on the bottoms of these chips, sometimes even more than 100 of them. It turns out that these balls or pins didn't have enough solder paste or enough pressure to give them good contact with the circuit brd they sat on as they went thru the oven. Now they might make a half ass connection and work for a little while but once the parts got hot and cold a couple times the balls or pins on the bottom of the chip would separate off the board. It might be only one ball coming up but thats all it would take. In the end all the defective mother boards had to be thrown out they couldn't be fixed. But with the x-rays as proof we were able to reach a settlement with the motherboard assy subcontractor. It turns out they just didn't know what they were doing.