A plastic bag caught on the overheads is often enough to cause a dewirement if it gets caught by a passing pan, so all obstructions are reported.
When reporting an obstruction on the OLE the signaller will want to know whether it is hanging below the level of the contact wire and, therefore, if it is in danger of snagging a pan. If it is, all trains on the affected line will be stopped until the obstruction can be removed. Most obstructions can be removed without needing to turn the juice off, as Nitwit Rail have a special insulated tool that they can use. Once it's been cleared, train services can resume. There is no point running a diesel service, as the line would still need to be temporarily blocked so the obstruction could be removed. Plus it generally doesn't take long once the man in a van arrives on site.
Pan damage is a bit different. The problem is that it is not necessarily noticed at the time it happened. A colleague of mine caused a minor dewirement and lost the rear pan on an 8 car train and had no knowledge of the incident until he was stopped by the signaller more than 10 miles further on and asked to inspect his train.
However, if you do have an ADD operation you will need to stop and report it to the signaller as the OLE may also be damaged. You will then have to inspect the pan for damage and report back. If the pan is damaged then you cannot continue with it and may need to request assistance depending on the consist of your train (a double-unit has assistance built in, provided you haven't somehow damaged both pans). The OLE will also need to be inspected, but if you've come to a stand away from the area the ADD operated that job will usually fall to the next driver to pass the site on another line.
HTH
**EDIT**
Incidentally, Eurostars are made up of independent half-sets. This means that you have the redundancy required for Channel Tunnel operations, as the entire train can still move even if power is only being provided by one half-set. As I said above, the best way to think of Eurostar is as two EMU's working in multiple.
Additionally, Channel Tunnel regulations forbid the use of a high voltage "bus", so it is not possible to connect up the rear powercar to the leading pan.
O L Leigh