I think there are better times and worse times to harvest a turkey throughout the spring turkey season, but any time you can hunt during the spring turkey season is a good time.

I've killed turkeys the first day of the season and the second to last day of the season, in late May. Surprisingly, that late May day featured three (scattered) toms gobbling from the roost, and my tom strutted and gobbled in a field (alone) for probably an hour or more before he strolled over.

I think early seasons are generally better because there's more birds and they haven't become as "hunter wise". But in some early seasons I've seen that the birds are still largely flocked up and not quite yet in their prime "rut." To me, there are many variables that go in to the equation of when a "prime rut" is for turkeys--weather, amount of daylight (the principal factor), temperature, number of birds, by age and by sex, harshness of the prior winter, and probably many more or other factors I'm unaware of, as well.

Overall, I prefer the earlier seasons, but that is mostly because I CAN'T WAIT!!
Having a greater area in a later season is better than not getting to go at all, in my opinion, especially if you find a quality area.

As far as eating, wild turkey is just like the commercial butterball turkey you buy in a grocery store, only far leaner, tastier and more satisfying, with both white and dark meat, IMO.