To summarize what's known so far: the problem appears to be cause by some third-party docking connectors, or (as in my case) connecting to a Firewire port. Once the problem has arisen it never goes away, and nothing suggested here fixes it. That includes:
- Resetting
- Letting the battery go completely flat then recharging
- Full restore including reloading firmware
Whether or not the root problem is in the iPod, Apple could be a big help here by at least acknowledging that there's a problem and figuring out what set of conditions causes it to start up. If it turns out that the root problem is in the third party connectors or cables, those manufacturers can be informed.
However the biggest problem here seems to be Apple itself. People have been reporting this fault for over a year and yet there has been no word from Apple to suggest that they're aware of it, or that they care; it's only natural to feel that Apple is hanging us out to dry now that they've got our cash, and that they may expect us to fix the problem by buying yet more replacement iPods.
In my case this will not be happening. My iPod is rapidly becoming unusable and if I don't find a fix soon I
will be replacing it - but not with another iPod. Frankly, a company whose customer service consists of a forum full of customers with problems, and no Apple presence to actually help out, doesn't deserve more business.