HI,
The planning zones report  https://production-planning-report-pdf.s3-ap-southeast-2.amazonaws.com/Allot-2086-Parish-Of-Frankston-(ID216301107)-Vicplan-Planning-Property-Report.pdf  suggest that some of the area is under local government control while some is 'Public park and recreation/conservation reserve' ... I think the later is the Vic Parks bit .. while the local government would be a separate thing... 

????