Did you know that the Ford Family still controls Ford, despite owning only a fraction of the company. The Family owns special shares that each carry (IIRC) 20 votes. Those shares lose their special voting rights if sold outside the family.
Every year at the AGM their is a move to strip those special rights, by changing the company constitution, and it gets defeated, by those special votes.
The constitution of Qantas specifies that it must remain Australian domiciled, that board members must be Australian residents, and limits foreign shareholdings.
There are many different self-perpetuating private organisations, some of them worth hundreds of millions, where new board members are appointed by the existing board.
I'm not suggesting a new ownership would agree to that level of "hands off", I'm simply pointing out that there are many things that can be achieved.
Even more can be done using different entities. As a purely hypothetical example, actual ownership (of the licence and IP) could be vested in a trust, controlled by an independent board. With the team operated under a management contract by the new "owners". Such a contract could specify many things. Similarly the Community Development arm could be placed into a separate entity, again with a contract that requires the Wildcats to provide current players and coaches to the tune of X,000 hours per year.
But yes, as we've said, its fundamentally about ensuring that the new ownership group shares the same values. So if you find out that one of them used to run a pub with skimpies, or made his fortune with a chain of adult-shops, then probably not the right fit.