It seems to happen 2 or 3 times a day. I hear a click and the router turns its lights off.
Odd, doesn't happen to me.
I would say this indicates a faulty router.
It sounds like the router keeps disconnecting/reconnecting and DLM is interpreting this as a noise problem, so it is adjusting your IP profile to try and stabilise your connection.
I think you need a new router, unless it's caused by power supply issues.