It sounds like it. My son is a pilot and was explaining the situation and probably the only way to try to pull out of it (in this plane). In this case and the chaos - there was no time.
Time and altitude are a pilot’s best friends in an emergency.
Still, a flat spin is very difficult under the best of circumstances.
One F-8 pilot bailed out over a thunderstorm rather than stay with the plane just from fear that in the absence of hydraulics it would go into a flat spin, and the centrifugal forces would keep him from being able to reach the ejection curtain at lower altitude.