I have a farm dog bitsa. There is no way I could give her anything like enough exercise on lead. Today at football oval - not quite fenced - which is how I like it - only dogs with good recall can safely be off lead there - she was thoroughly exercised by another farm dog bitsa friend in a way I never could achieve.
So that's why I like off lead areas. Our beaches are great places too. But during daylight savings - only allowed off lead before 10am and after 8pm - which is fine by me - except the after 8pm being dark and only one hour of car park before it turns into a no parking (camping) zone.
If your council staff won't do anything, ask for an explanation from your local council elected rep and the council CEO. Just because a dog is small - doesn't mean it's harmless or exempt from the dog laws.