It deffiently would if you use a fast method of cooking like frying. With the exception of people who use turkey fryers, the majority of turkeys are baked, broiled or smoked, which are a slow cooking method, along with basting the meat. With slow cooking it's not that much of a problem.
When raising turkey's the time for butchering take into account, the fact the most turkey's are slow cooked, not fried. For Heritage Turkeys it's around 30 weeks or 7 months. This is more of when a window of opportunity begins rather then a fixed absolute time. Because it also depends on how the Turkey was raised and the breed of the turkey. A number of people feel that Turkeys raised on grass/weeds taste better, but doing that depends on how well they forage.
Longer cooking time help tenderize the meat, Also it would be helpful to use let the meat soak in a brine solution before cooking. The extra by fat gained from older birds around the meat will help improve the taste. You can also use a seringe and needle to inject the brine into the meat to help tenderize it.
If you are entending to fry the turkey then I would probebly get a BB Bronze or Great white and butcher early. That would provide a larger bird, at 17 week a dressed bronze or white could be around 19 to 20 pounds easily.
With in the last month someone posted a link to a Turkey taste test in forum. The Butter Ball type turkey (Great White) was rated last amoung all of those in the taste test. Bourbon Red was number two by a very close margin.
Although we raised BB Bronze and Great White this year, and they were in the 26 plus lbs range after 22 weeks. I am having second thoughts about doing it again, as in 35 years of buying turkeys we have never gotten one larger then 20 lbs and we had turkey for days after that. So I don't think we really need that big of a turkey around here. Plus in our upright freezer we can fit one 26 pounder where two 18 pounders fit.