Even if it worked, you're thinking the pilot could, in 5 seconds at best, decide between attempting to climb out, finding a less lethal course to suffer the crash with minimized ground casualties, or immediately dive into the nearest obstacle to contain the damage in some way.
Nope. The flight crew may have even trusted the #3 engine failure was not real, but instrumentation failure. The roll would prove them wrong, but too late to change anything. They were already in uncontrolled flight. No recovery.
This isn't like US1549 , where they had double-digit seconds to evaluate the failures. And even then they 27 seconds to decide they could not return to any airport. This accident did not seem to last 27 seconds in total.
If this is caused by engine disassembly, we can expect inspections and both corrective and preventative actions to be mandated. What else could they do?