The best turkey hunters I know are in the woods as the sun goes down and know which trees the gobblers are roosting in overnight. Then they get there early in the morning for flydown.
Since I live an hour from my lease, my problem with very early morning hunting is that I don't put the turkeys to bed at night so I'm not quite sure where they are roosting. If I get there too early, I get busted coming in. So I wait until a little later in the early morning, when I can see and kinda get a feel of where they are.
I've killed turkeys at all times of day, but usually see more in the morning times. However, that mid-day gobbler is not rarity, and happens enough that I spend the whole day out there.