Ordinarily, a joint should be 1.4 times stronger than the wood, so if there is a shrinkage issue, the wood will break first. An open joint indicates an error in surface preparation almost all the time. Hickory retries special care when preping.
To affirm what David has already posted, TB III may not be adequate for a top that has a lot of hot pans put on it. Actually, compared to other PVA adhesives, this adhesive is formulated so that it will not soften with heat or moisture as much as the others do. There is a chemical reaction that occurs that cannot be reversed. So, do you know what the heat and moisture history has been since the piece was made and put in service?
Second, there is a very good chance that you did not make a strong joint initially. The individual pieces might not have been tightly fitting (0.006" maximum gap). Did you machine the pieces and then glue them within 15 minutes? Because hickory is so dense and moves with even a small change in moisture content, we need to prepare the surface and glue within minutes. Further, was the surface preparation ideal without excessive heat (knives or saws were sharp, no heating, etc.)?
Did you have someone examine the inside of the open joints? Oftentimes, we can tell what is wrong from this sort of exam.