Under EU Regulation 883/2004, a frontier/cross border worker working and paying social insurance in another EU/EEA country, who meets the criteria, is eligible for a medical card if they are ordinarily resident in Ireland. If the frontier worker is applying for a medical card in their own right a means assessment is not required. However if the frontier worker's spouse is employed or self employed in Ireland, they and their dependants come under Irish legislation, i.e. they are subject to a means test where both their income and the income of the frontier worker is assessed.
As the question in relation to the specific medical card application form is a service matter, I have also asked the Health Service Executive to respond to the Deputy directly.