A few errors here.
The most obvious:
As
markis10 mentioned the AD applies to US a/c only but the AD would have been issued in conjunction with Boeing. The FAA does not simply invent ADs they work them through with the experts (read manufacturer), who would have passed it on to all airlines and it would have a definitive time line. Depending on the degree of importance they can vary between no flights until completed through to ongoing inspections and to be done on the next service. That's how the system works.
There are many antenna locations on the a/c so losing the SATCOM array as mentioned would not cause a total loss of comms. They would know what was not working by the lack of responses from anyone.
The mention of no pax oxygen masks until 13,500 ft is also a red herring IMHO. The Time of Useful Consciousness (TUC) at 15,000 ft is in excess of 30 minutes.
See:
Time of Useful Consciousness