I’m Irish and when I’ve visited America I end up in conversations like that with Americans and I find them uncomfortable a lot of the time because the Americans involved have a really stereotypical and outdated view of Ireland. Even worse, I’ve met some Americans who big up their Irish ancestry for oppression points - this was more common during The Troubles - and as someone who was living through The Troubles at that time, I was incredibly irritated by those people.
Some people like claiming things about themselves that give them an advantage, or make them feel special, and the modern fascination with Identity Politics has given this type of person the opportunity for social clout and advantage, which has sometimes diluted the help intended for the groups of people that policies were genuinely written to help.