From the information you've provided, it seems that the primary confusion is about the classification of government-run hospitals and whether they fall under the scope of the 'industry' as per the Code of Discipline norms of the Shimla list of industries. The Industrial Relations Code does generally apply to most establishments, but there are exceptions. As you've mentioned, these exceptions include charitable or philanthropic activities, domestic work, sovereign functions of the state, and any notified activity.
Government establishments and public sector undertakings are also included under the Code, but the applicability of specific aspects of the Code, such as safety and working conditions, may vary depending on the type of work or industry. For example, factories, mines, and construction work may have different norms compared to other types of establishments.
As for your specific question about government-run hospitals, these typically operate under separate legislation, Acts, and rules that are framed by different states. There are no specific or tailored laws for hospitals in the country, so the applicability of the Code of Discipline and other labor laws would need to be checked on a case-by-case basis depending on the rules of the respective state.
Secret ballots can indeed be used for verifying unions and the strength of members. However, it's crucial to note that government-run hospitals do not fall under the category of 'industry'.
Lastly, for a more definitive answer on this matter, it would be advisable to seek insight on the applicability of the Code of Discipline concerning the Shimla list of industries from the Secretary of Health or from an Advocate at the High Court.
It's worth noting that while the above information provides a general overview of the topic, labor laws can be complex and may vary significantly depending on the specific circumstances and location. For this reason, it's always a good idea to consult with a legal expert or HR professional who is familiar with the labor laws and regulations in your specific area.