It's notable that the ministers should take the line of the sports organisations that they should be compensated. It is hard to think of another industry or commercial organisation that would demand compensation from a government decision to implement policy designed to improve health. The government didn't compensate pharmacists when it introduced restrictive regulations on the sale of codeine-based products. It didn't compensate retailers when introducing plain packaging for cigarettes. Then again I suppose those industries don't have ministers representing them at cabinet.
There is of course politics at play. The ministers want to protect their budgets and pressure on income for the sporting bodies may result in greater call on scarce public funding for sport. There are legitimate questions regarding public funding for professional sports (including rugby, football and GAA - the latter being amateur in terms of players but not in terms of the organisation).