Well said gumbyk. The owners and restorers want a flyable, sometimes rather authentic warbird, not a certified veteran, though it IS an added bonus, as you say, should it be one, and can affect the value. The public doesn't care at all, if they're at an airshow, and would rather see one NOT a famous veteran fly than a certified war hero static. Me, too, for that matter.
Most of the public are lucky to guess which country it flew for, much less the correct airframe. We have people all the time ask us if our B-25 is a B-24! And everyone has an uncle , cousin, grandfather, etc. who flew one or flew in one.