Jeff,
I hunt Easterns down in southeast Oklahoma and they can flat out cover some ground. That's why I don't go after them with my bow. Just to much of a pain to haul the blind around all day and set it up several times.
They can cover 300 yards in just a couple minutes if they want too.

I have had them see me and spooke but in a while they will start to gobble again. So I wouldn't say game over.