Beer, that isn't exactly how the FAA describes what could happen in it's EAD:
Unsafe Condition
This AD was prompted by analysis performed by the manufacturer showing that if an erroneously high single angle of attack (AOA) sensor input is received by the flight control system,there is a potential for repeated nose-down trim commands of the horizontal stabilizer. We are issuing
this AD to address this potential resulting nose-down trim, which could cause the flight crew to have difficulty controlling the airplane, and lead to excessive nose-down attitude, significant altitude loss, and possible impact with terrain.
and
The 737-8/-9 uses a Flight Control Computer command of pitch trim to improve longitudinal handling characteristics. In the event of erroneous Angle of Attack (AOA) input, the pitch trim system can trim the stabilizer nose down in increments lasting up to 10 seconds.
It appears that this is not the STS, but a new system called the MACS.