Some posters here seem to think that if a jet engine is running at some low power (not flamed out) then increasing the fuel supply by opening the throttle will necessarily give you more thrust.
Sadly that is not how engine fuel systems work. Whether they be earlier generation hydro-mechanical engine fuel systems or modern FADEC (full authority digital engine control) fuel systems their job is to meter the increase in fuel flow asked for by throttle positions (NB whether the throttles are operated by the pilot or the autopilot makes no difference).
This careful metering has to take into account the pressures at the different stages of the fan and compressor combination, especially the compressor.
The probes and ports for measuring these pressures can easily become contaminated by bird remains so sending incorrect information to the fuel scheduling systems.
Therefore a bird strike can cause an engine run down to a low RPM (not a flameout) without any mechanical damage being present to the compressor blades themselves.