Something seems to be missing here?
Needs a more in depth explanation of the scenario.
Flameouts of multiple engines at the same time are quite rarely confirmed even tjhough reported. However, loss of thrust repsonse of multiple engines are far more common. Most of the dichotomy is due to the crew failing to take into account the engine(s) actually still being lit but so slow to response that they give up on them and engage a restart procedure which may be problematic to begin with.
The idea is that the best odds of recovery is doing only one engine at a time.