The pics seem to confirm the RH engine has lost all power while the LH engine is at high power.
At the time of the lawn dart the LH engine has blocked airflow but still fuel which of course leads to the burning out the tail pipe.
I am surprised about some of the aircraft performance comments suspecting asymetrical thrust leading to uncorrectable roll. This machine having little lever arm effect. Of course if like the Mig bird ingestion mentioned earlier, at very low speed and altitude an engine failure might lead to little room for recovery.