It's not something you want, but recoverable.
https://www.youtube.com/watch?v=9KhZwsYtNDE
I'm absolutely positive that really good pilots can recover from it but when you only have 100' of altitude to recover shit has a much higher chance of a bad ending than if you had 1000' of altitude. The pilots basically have to do everything right and immediately. One mistake and your toast whereas at 1,000' you can make a mistake or be slightly slower on your reaction time and still recover.
It's possible for a plane to actually land without any hydraulics using
just the alternating of engine power to control all aspects of flight.
It's possible for a big ass 767 to lose all engine power (actually ran out of gas at 41K feet) and without any power at all to land the plane with minimal injuries.
It's possible for a plane to lose all engines on takeoff and completely ignoring ATC miraculously pull off a water landing in the Hudson river with few injuries.
Personally I think the first is the most impressive, not to take anything away from the others, but it was sheer luck that there was a trainer for that exact airplane on board who sat on the floor between the pilot/copilot and controlled the throttles. Is every pilot in the world capable of pulling those things off, hell no. Not to long ago a big ass jumbo jet with no mechanical problems at all came up short on freaking landing. On a perfectly clear day, with perfect visibility, low winds, no wind sheer, no rain and an aircraft that was working as it should they missed the damn runway. So while yes, it can be recovered from by some, probably even most, pilots but it's most definitely a potential loss of all life situation. Then you have smaller single engine jets and turboprops, usually from smaller airfields. Bird strikes have even known to damage helicopters and propellers on piston planes. It takes a pretty big bird but drones are getting pretty big and that trend will only continue.
Hell even if the pilot does recover the plane and circle back for an emergency landing the cost of the event would be ridiculous. We aren't just talking about an engine, the airport would suffer serious delays across the board just from the emergency landing, then I'm pretty sure they'd have to shut the runway it landed on down (possibly all of them?) to sweep for potential debris from the torn to shit engine, buying all of the passengers a new pair of underwear, etc.
PS thanks for the link, I love watching good pilots while being able to hear the actual ATC communications throughout the incident.