Yeah, and if you’re that hungry that the meat would save your life, you’re in no state to recover from such a devastating wound. Your immune system and ability to generate new blood would be severely compromised.
And then there’s the added mental toll of coping with the lost limb and having to learn to use it, whilst you’re already dizzy from hunger and blood loss, so any chances at other food would be much harder to exploit.
I think objectively it would make your situation much worse.