In terms of remote access to change settings no difference. The data available to talktalk is actually data exchanged by modems to the hardware in the exchange
The thing you need to do is find out where the ADSL modem stats are in the router, and look at these yourselves. ISP support is not going to spend the time looking at these daily for a line that is just one of millions.
DSL modems do resync, usually as a result of a noise spike, or for example ice causing problems with a joint, or snow weighing down overhead cables and making a connection intermittment