Turbine D - The FAA, being sensible people, would not have repeated all of the work done by EASA in certificating the Trent. Similarly they will not be very much involved in routine continued airworthiness or lifing or approval of oils for foreign engines of reputable provenance.
As to the oil, I do not believe the GE presentation you identified precludes the need to identify oils approved for individual engines by brand name. I believe it actually describes an approval process.
Changing the subject a little, I thought that turbine blade root cross sectional areas were sized so as to fail in tension in the event of an overspeed. Thus hopefully limiting the extent of overspeed.