Do you mean in terms of keeping the parks profitable, or in terms of future investments?
Also, I think that Merlin now being private may help them somewhat, as the stock prices of some of the top theme park companies at the moment make for grim reading; I'd imagine that a public company's stock price has at least some bearing on its performance & stability.
The situation as I understand is that Merlin are quickly approaching the position where their available monies (cash in the bank, as well as unused loan facilities and other finance) are no longer able to service their liabilities (including lease payments, loan repayments and the cost of making your staff redundant). In the UK, that means Merlin is facing
Insolvency.
If they continue to approach insolvency they will be bound by law to appoint an
insolvency practitioner, who are regulated persons working for an external accounting firm. Their job is to guide the business away from insolvency (and in doing so they might use legal protections you have heard of like
Administration and
Company Voluntary Arrangements, which protect the business from being rendered insolvent by any stakeholder(s)). If they are unable to successfully prevent the business from becoming insolvent, they are duty bound to place the company in
Liquidation, which is the legal procedure by which a company is dismantled of its assets and creditors (stakeholders owed money) are reimbursed. Once this process is finished (which in the case of big companies typically takes many years) the company is
Dissolved, formerly ending its existence as a legal entity.
Crucially though, the role of an insolvency practitioner is to work in the best interests of all stakeholders - including but not prioritising shareholders. This means the shareholders would no longer be able to exert their influence in the same way the owners of a business usually can.
You're right in what you say about them being helped by now being a private organisation, because ultimately so long as their parent companies are interested in keeping the business operational (and protecting their investments) and their own funding is such that they can make it happen, they will continue to inject cash in to the business to protect their investment. Especially so soon after making an investment valued at £6bn, it seems unlikely they'd want to lose out based on a few hundred mil.
As for whether this has consequences for investment in the business once operations can resume... who knows! If the shareholders decide to make them work with whatever cash reserves they have at that point, the parks are going to have some very tough years while they build up cash reserves. If they decide to inject another load of capital to trigger a wave of investments, the scene could be very interesting indeed. Neither is a foregone conclusion based on the current scenarios, and both pose significant risks to the company and its parents.