Years later after seeing that episode, two of my friends were hunting in Florida when they saw a turkey high up in a tree. One turns to the other an says "how did he get up there - I thought turkeys couldn't fly?". The turkey then sees them and takes off - flying away from our intrepid hunters, who slap themselves for their stupidity for not just blasting him when they had they chance.
The farm-raised domesticated and wing-crippled thanksgiving turkey might not fly, but the wild turkey flies just fine.