The headline says “light twin”.
Any twin under a Beech King Air is a handful if one engine quits. That is especially true during departure climb.
Cleaning up the aircraft....gear retraction, prop feathered possibly other items depending on make and model, must be done immediately and correctly.
Rudder and aileron positions must be exactly right.
The spread between correct airspeed for climb and too slow resulting in loss of control is small and even when everything is just right rate of climb is such that obstacle clearance is a major concern.
If the headline is correct that it was a small twin, all of the above must be considered.
Of course of my #16 is on track, gross weight and CG are definite factors to be investigated.
Sorry, I missed the twin part. Yes, an engine-out in a twin requires immediate input.
Cessna 340 according to Kathryn’s Report.