"We felt no one cared about our problems, that 15 lessees have walked without compensation for valuable homes and the rest of us are likely to when our current 21 years expire," Carter said.
The board opposes the petition as "unconstitutional and confiscatory, without justification, unnecessary and conflicting with the purposes and vision of settlor Sir John Logan Campbell".
The board presented the select committee with a 45-page report, telling how important the income from the properties is, how it pays for the upkeep and running of One Tree Hill Domain and how the leases were perpetual, dating back to 1920.
Every 21 years, ground rent is reviewed, struck at 5 per cent of the unimproved land or section value, the board said.
John Clark, board chair, said Cornwall Park got more than 4 million visitors annually and was perceived as a "priceless treasure".
Some leaseholders had challenged the board via the courts but the board said that "in every case", proceedings had failed.
The petition said the board's income was "heavily dependent on rent received... that is currently sitting at about $5m per year of which 80 per cent is from its residential ground leases.