Just having a quick look through Wikipedia's international
List of faux pas (which is quite interesting anyway). One of the Irish entries is :
"
Referring to the Republic of Ireland as Éire: although this is the official title of the state in the Irish language, it is considered an irksome and patronizing term used only by the English, though usually well-intentioned. Simply refer to the country as "Ireland" or "the Republic of Ireland"."
Personally, I quite like the name 'Éire' and certainly wouldn't consider it an irksome term or a faux pas. It might cause me to do a slight double-take, but only because it's not too often you hear it, maybe not often enough imo.
Is that just me? What do others think?