Your "Object" example, of course, can also refer to the meat of the turkey rather than the bird itself. Hence (or is that "hens"?), the second sentence in the example could say that they "ate some fresher turkey instead".
Mostly, though, I wanted to bring back a similar example that you shared with me years ago, which was:
A: The turkey is ready to eat.
I think that you asked me at the time which of these meanings came to mind:
A1: The turkey is hungry.
A2: The turkey is fully cooked.
But, of course, a turkey can't be hungry if it's stuffed.
I understand that this doesn't address Rasha Assem's question regarding "too", which you and Ahmed dealt with perfectly.