Wikipedia doesn't have it wrong per se, it's just that it can't have two articles by the same name (Ireland the island, and Ireland the nation, only one of thos

Wikipedia doesn't have it wrong per se, it's just that it can't have two articles by the same name (Ireland the island, and Ireland the nation, only one of those can be at /wiki/Ireland), so I guess they opted for Ireland to mean the island, and then the page for the country is /wiki/Republic_of_Ireland... However! That page makes it clear that the name of the country is Ireland: Ireland (Irish: Éire [ˈeːɾʲə] (listen)), also known as the Republic of Ireland (Poblacht na hÉireann), since Ireland there takes precedence. In conclusion, I think it's just a technical limitation.