No, that really isn't correct.
If your county was open to fall turkey hunting, you were able to shoot turkeys while archery hunting since the day archery season opened. And, you could take up to whatever your county limit is for the entire fall season. ALL turkeys taken while archery hunting count against the county limit.
The Oct. 17-30 season is a shotgun season for turkey. It continues to be open for archery deer hunters as well through Oct 30, and then again Nov. 2- Nov. 6. The total county limit can't be exceeded with any combination of archery or shotgun hunting.
And, an archery deer hunter cannot be in possession of both archery equipment and a shotgun.