Complete nonsense there is no connection from the IFE system to the EEC utter rubbish
How does IFE display the position, altitude, speed, OAT, wind ?
How does IFE display the outside camera ?
How does IFE have channel 9 (cockpit and ATC transmissions) ?
While I know its not the EEC, I would think there is an ARINC data bus between the IFE and the aircraft. Given that many of these busses contain bridges and gateways, direct control over an engine may not be required. With FADEC aircraft that connect to an autothrottle, I would think providing false sensor information onto the bus (e.g. change in one TAT input by 20 degrees), and then letting the engine through the autothrottle adjust performance may be a way to get this result.
Certainly convective clouds can have similar asymmetrical effects on TAT readings.