Again, the purpose for these new US/EU talks are to create one EU open-skies agreement that essentially replace the individual agreements between the US and each EU member state (per a court ruling by the EU). Thus, the new talks will start from scratch with regard to LHR... I wouldn't presume that Bermuda II matters much.

Of course, simply because a new agreement might invalidate the current UK regulations on access to LHR from the USA (gateway city and number of carrier restrictions), there is no guarantee that open-access will go to CO.