My grandparents (on both sides) were born in Russia and the Ukraine. My parents were born in the U.S. and I NEVER heard them refer to those countries as their “home country”.
My parents are naturalized citizens who fled when their country fell to communism. We still have a lot of family there, and visit when we can. Although the "old country", as my parents call it, tugs on my heartstrings, I've never called it my home country. If my husband called it my "home country" in prepared remarks in public, I'd think he was slightly off his rocker.
I think this is a significant slip.