My advice if you are hunting an area where there are reasonably numbers of gobblers is to not get hung up on hunting any one bird. Gobblers that have been pressured will get where they will rarely approach a turkey call they hear without some visual signs that the hen they are hearing is the real deal.
However, in areas with good turkey numbers, there are generally some birds around that, for whatever reason, have not been conditioned to avoid calling, and/or have otherwise just gotten into the "mood" where they will come to a call. When I am hunting the late season, I am searching for those birds.
If I am hunting a gobbler that reacts in such a way that I know he is probably not likely to come to my calling, I am going to go look for one that will. Of course, that strategy only applies in circumstances where you have the room to roam to look for those birds. If you don't then forget the above. You may be relegated to finding where a gobbler wants to be and then waiting him out.