Ability to exclude a career section joblist from being included in job alert notification

Summary:

From what I have read so far, I do not believe this is possible but I am reaching out to the community just in case someone has come up with a brilliant idea!

My customer has several career sections some of which are workarounds to business processes where a job list is for a particular audience and should never be shared with a wider audience. Yet because I am not able to exclude these from the job alert, candidates are receiving these job alert notifications and accessing them when they should be hidden and unavailable.

Is there a way to exclude an entire Career Section from being included in Job Alerts?