Both your (presumably totally random) examples' most recent accounts contain the following (common, boilerplate, copy/paste) auditor text:
"In preparing the financial statements, the directors are responsible for assessing the company's ability to continue as a going concern, disclosing, as applicable, matters related to going concern and using the going concern basis of accounting unless the directors either intend to liquidate the company or to cease operations, or have no realistic alternative but to do so".
The Millwall directors provide the following elucidation in their notes (PDF):
"The directors continually monitor the financial position of the Company, taking into account the latest cash flow forecasts and the ability of the Company to generate cash. The directors have prepared the financial statements on a going concern basis having had regard to cash flow projections for a period of not less than twelve months from the date of signing these accounts which includes funding from the immediate parent company, financed by the ultimate parent company. The directors have also considered the impact of player trading, which is an integral part of the Company's activities, and the cash flows associated with this activity.
"While there will always remain some inherent uncertainty the directors remain confident that they will be able to manage the company's finances and operations so as to achieve the forecasted cash flows and, as a result, that it is appropriate to draw up the financial statements on a going concern basis.
"The financial statements do not include any adjustments that would result if the going concern basis of preparation were to become no longer appropriate."
Whereas the Rotherham directors offer the following in their notes (PDF):
"The directors have a reasonable expectation that the company has adequate resources to continue for the foreseeable future and have received a letter of support from ASD Lighting plc confirming financial support for a period of at least 12 months from the date of approval of these financial statements. Thus the directors continue to adopt the going concern basis of accounting in preparing the financial statements".
Im a director of a Company and every company director I understand is required to make a statement in the accounts that they are a going concern and why they think that is true.
The auditor assesses that. If he thinks there is something fundamental about it, over and above how businesses run generally, he puts it in the auditor report. That is what you git at Pne, and probably most clubs that are totally reliant on their benefactor to keep going.
Not at Rotherham and Millwall who were not chosen at random, but the first 2 that came to my head without an obvious benefactor.