What do Irish people think of Irish-Canadians?

What do Irish people think of foreigners? People who hold Irish DNA, but do not live in the country. I’m curious, as I know there can be animosity for other groups, for example, Italians vs Italian Americans.

My great grandfather immigrated to Canada, but my grandmother is looking to visit Ireland and experience the culture and home country of her father. Are Irish people open to sharing that culture or are they more closed off about their culture to foreigners?

Edit: I understand she has no claim to the Irish title, I’m trying to provide context for why my grandmother wishes to come.