Actually, my original post wasn't just a joke, it was observation. The modem does not even need anything to be connected to the DSL port for it to attempt connection. As I write this I have another DSL modem (HG622) sitting alongside me, powered up, but not connected to anything at all. The DSL light is flashing as it 'attempts' to sync.
If you think about it, this is by design. The modem has no way of knowing (for sure) when or whether a (temporary) line fault might resolve itself. Is it better for it to keep trying, in the hope that sooner or later it will be sucessful, or just sit there waiting for somebody else to do something? These things are supposed to run 24/7 unattended, so I would suggest that the former strategy is at least understandable.