This is normal procedure. As an example: When the company I worked for called back people that were laid off due to the government destroying their jobs some of them chose not to come back. The company then reports to unemployment the status change of the employee for refusing the job offer and their benefits are ended.

The only way that this could be overlooked if a person applies for then rejects a job from a new employer and there's no update on the status of the persons job offer.